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Last updated on May 26th, 2025

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LCM of 12 and 18

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The Least common multiple (LCM) is the smallest number that is divisible by the numbers 12 and 18. The LCM can be found using the listing multiples method, the prime factorization and/or division methods. LCM helps to solve problems with fractions and scenarios like scheduling or aligning repeating cycle of events.

LCM of 12 and 18 for Indonesian Students
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What is the LCM of 12 and 18?

The LCM of 12 and 18 is the smallest positive integer, a multiple of both numbers. By finding the LCM, we can simplify the arithmetic operations with fractions to equate the denominators.

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How to Find the LCM of 12 and 18?

There are various methods to find the LCM, Listing method, prime factorization method and division method are explained below;

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LCM of 12 and 18 using the Listing Multiples Method

The LCM of 12 and 18 can be found using the following steps:

Steps:

  1. List the multiples of each number

   — Multiples of 12 = 12, 24, 36, 48, 60, 72, …

   — Multiples of 18 = 18, 36, 54, 72, 90, …

  1. Figure the smallest multiple from the listed multiples

  — The smallest common multiple is 36.

Thus, LCM(12, 18) = 36

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LCM of 12 and 18 using the Prime Factorization Method

The prime factors of each number are written, and then the highest power of the prime factors is multiplied to get the LCM.

Steps:

  1. Devise prime factors of the given numbers:

  — Prime factorization of 12 = 2 × 2 × 3

  — Prime factorization of 18 = 2 × 3 × 3

  1.  Pick the highest powers of each prime factor:

  — Highest power of 2 = 2²

  — Highest power of 3 = 3²

  1.  Find the product of the highest powers to get the LCM:

     LCM(12, 18) = 2² × 3² = 36.

Professor Greenline from BrightChamps

LCM of 12 and 18 using the Division Method

This method involves dividing both numbers by their common prime factors until no further division is possible, then multiplying the divisors to get the LCM.

Steps:

  1.  Write the numbers:  

  1. Divide by common prime factors and multiply the divisors:

  — 2 × 2 × 3 × 3 = 36

Thus, LCM(12, 18) = 36.

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Common Mistakes and how to avoid them while finding the LCM of 12 and 18

Listed below are a few commonly made mistakes while attempting to ascertain the LCM of 3 and 9, make a note while practicing.

Mistake 1

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Listing incorrect/overlooking multiples for the given numbers 12 and 18.

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This can be avoided by always double-checking the multiples of the numbers 12 and 18 and by not stopping too early. To elaborate, listing 12,24 as multiples of 12 and 18,36 as multiples of 18 and assuming 24 is the LCM.

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LCM of 12 and 18 examples

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Problem 1

Goods are received by a shipping company every 12 and 18 days. If the shipments have been received today, when will they next arrive at, the same day?

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The LCM of 12 and 18 is 36.

Explanation

The goods will be received next in 36 days. 36 is the LCM of 12 and 18, which is the smallest time interval between the digits.

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Problem 2

A maintenance schedule for projectors is set up every 12 weeks and 18 weeks at a school. If both the projectors are serviced today, in how many weeks will they be serviced again on the same day?

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The LCM of 12 and 18 is 36.

Explanation

Both projectors will need maintenance again in 36 weeks.36 is the LCM of 12 and 18, which is the smallest time interval between the digits.

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Max, the Girl Character from BrightChamps

Problem 3

Two clocks strike every 12 hours and 18 hours. If both of them strike now, when will they next strike together?

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The LCM of 12 and 18 is 36.

Explanation

Both clocks will chime together again in 36 hours. 36 is the LCM of 12 and 18, which is the smallest time interval between the digits.

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Max, the Girl Character from BrightChamps

Problem 4

In a neighborhood park, the fountain show is turned on every 12 minutes, and the light show every 18 minutes. If both the shows are turned on at the same time, when will they next be turned on together again?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The LCM of 12 and 18 is 36.

Explanation

Both the shows will turn on at the same time in 36 minutes, 36 is the LCM of 12 and 18, which is the smallest time interval between the digits.

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Max, the Girl Character from BrightChamps

Problem 5

A car mechanic services a red car every 12 days and a blue car every 18 days. If the cars are serviced today, when will they be serviced next together?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The LCM of 12 and 18 is 36.

Explanation

Both cars will be serviced again in 36 days. 36 is the LCM of 12 and 18, which is the smallest time interval between the digits.

Max from BrightChamps Praising Clear Math Explanations
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FAQs on LCM of 12 and 18

1.Why is the LCM of 12 and 18 not simply their product (12 × 18 = 216)?

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2.How do you find the LCM of 12 and 18 using a Venn diagram?

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3.What is the LCM formula using the HCF?

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4.If both the numbers are prime, what is the LCM? Explain in the case of 12 and 18. 

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5.How can you check if the LCM you ascertained is right? Explain using the digits 12 and 18.

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6.How can children in Indonesia use numbers in everyday life to understand LCM of 12 and 18?

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7.What are some fun ways kids in Indonesia can practice LCM of 12 and 18 with numbers?

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8.What role do numbers and LCM of 12 and 18 play in helping children in Indonesia develop problem-solving skills?

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9.How can families in Indonesia create number-rich environments to improve LCM of 12 and 18 skills?

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Professor Greenline from BrightChamps

Important glossaries for the LCM of 12 and 18

  • Multiple: A number and any integer multiplied. 
  • Prime Factor: A natural number (other than 1) that has factors that are one and itself.
  • Prime Factorization: The process of breaking down a number into its prime factors is called Prime Factorization. 
  • Co-prime numbers: When the only positive integer that is a divisor of them both is 1, a number is co-prime. 
  • Relatively Prime Numbers: Numbers that have no common factors other than 1.
  • Fraction: A representation of a part of a whole.
Professor Greenline from BrightChamps

About BrightChamps in Indonesia

At BrightChamps, numbers are more than simple digits—they unlock countless opportunities! We are dedicated to helping children all over Indonesia grasp key math skills, focusing today on the LCM of 12 and 18 with an emphasis on understanding the LCM—in a way that’s fun, engaging, and easy to follow. Whether your child is calculating the speed of a roller coaster at Dunia Fantasi, tracking scores at badminton matches, or managing their allowance for the latest gadgets, mastering numbers gives them confidence for everyday tasks. Our interactive lessons keep learning fun and easy. Since kids in Indonesia learn in diverse ways, we tailor our approach to each child’s needs. From the lively streets of Jakarta to the beautiful beaches of Bali, BrightChamps brings math to life, making the LCM a fun part of every child’s learning journey!
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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

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Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

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