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Last updated on May 26th, 2025

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LCM of 2 and 9

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The Least common multiple (LCM) is the smallest number that is divisible by the numbers 2 and 9. 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 2 and 9 for Qatari Students
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What is the LCM of 2 and 9?

The LCM of 2 and 9 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 2 and 9?

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 2 and 9 using the Listing Multiples Method

 The LCM of 2 and 9 can be calculated using the following steps:

Steps:

  1. Write down the multiples of each number

  — Multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, …

  — Multiples of 9 = 9, 18, 27, 36, 45, 54, …

  1. Ascertain the smallest multiple from the listed multiples:

  — The smallest common multiple is 18.

Thus, LCM(2, 9) = 18.

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LCM of 2 and 9 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.  Find the prime factors of each number:

  — Prime factorization of 2 = 2

  — Prime factorization of 9 = 3 × 3

  1.  Take the highest powers of each prime factor:

  — Highest power of 2 = 2¹

  — Highest power of 3 = 3²

  1. Multiply the highest powers to get the LCM:

LCM(2, 9) = 2¹ × 3² = 18.

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LCM of 2 and 9 using the Division Method

This method involves dividing both numbers by their common prime factors and multiplying the divisors to find the LCM.

 

Steps:

  1.  Write the numbers, divide by common prime factors and multiply the divisors.

Thus, LCM(2, 9) = 18

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Common Mistakes and how to avoid them while finding the LCM of 2 and 9

Listed below are a few commonly made mistakes while attempting to ascertain the LCM of 2 and 9 make a note while practicing.

Mistake 1

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Listing incorrect/overlooking multiples for the given numbers 2 and 9

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 This can be avoided by always double-checking the multiples of the numbers 2 and 9 and by not stopping too early. To elaborate, listing 2,4,8 as multiples of 2 and 9,18 as multiples of 9 and assuming 4 is the LCM.

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LCM of 2 and 9 Examples

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Problem 1

P visits a café every 2 and Q visits the same every 9 days. On which day are they likely to run into each other?

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The LCM of 2 and 9 is 18.

Explanation

They will run into each other on the 18th day. The LCM of 2 and 9 is 18, which is the smallest common time interval for the given digits.

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Problem 2

An HP Printer prints a batch every 2 minutes and a Canon printer prints a batch every 9 minutes. If the machines start at 10:00 AM, when will they print out a batch at the same time?

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The LCM of 2 and 9 is 18.

Explanation

Both machines will print a batch together at 10:18 AM. The LCM of 2 and 9 is 18, which is the smallest common time interval for the given digits.

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Problem 3

In a neighborhood park, the fountain show is turned on every 2 minutes, and the light show every 9 minutes. If both the shows are turned on at the same time, when will they next be turned on together again?

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 The LCM of 2 and 9 is 18.

Explanation

Both the shows will turn on at the same time in 18 minutes. The LCM of 2 and 9 is 18, which is the smallest common time interval for the given digits.

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Problem 4

A car mechanic services a red car every 2 days and a blue car every 9 days. If the cars are serviced today, when will they be serviced next together?

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The LCM of 2 and 9 is 18.

Explanation

Both cars will be serviced again in 18 days. The LCM of 2 and 9 is 18, which is the smallest common time interval for the given digits.

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FAQs on LCM of 2 and 9

1.Why is the LCM of 2 and 9 not simply their product (2 × 9 = 18)?

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2.How do you find the LCM with different bases in an exponential equation ?

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3.What is the LCM formula using the HCF?

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4.What is the HCF of 2 and 9?

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5.What do the numbers 2 and 9 have in common?

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6.How can children in Qatar use numbers in everyday life to understand LCM of 2 and 9?

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7.What are some fun ways kids in Qatar can practice LCM of 2 and 9 with numbers?

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8.What role do numbers and LCM of 2 and 9 play in helping children in Qatar develop problem-solving skills?

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9.How can families in Qatar create number-rich environments to improve LCM of 2 and 9 skills?

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Important glossaries for the LCM of 2 and 9

  • 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.
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About BrightChamps in Qatar

At BrightChamps, numbers represent more than digits—they unlock countless opportunities! Our goal is to help children throughout Qatar master important math skills, focusing on the LCM of 2 and 9 with special attention on understanding the LCM—in a lively, fun, and easy way. Whether your child is calculating how fast a roller coaster moves at Qatar’s Angry Birds World, keeping score at local football matches, or managing their allowance to buy gadgets, mastering numbers builds confidence for daily challenges. Our interactive lessons make learning enjoyable and simple. Because children in Qatar learn in many different ways, we adapt our approach to suit each learner. From Doha’s modern cityscape to desert landscapes, BrightChamps makes math come alive. Let’s make the LCM a fun part of every child’s learning!
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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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Fun Fact

: She loves to read number jokes and games.

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