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Last updated on January 8th, 2025

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LCM of 54 and 12

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LCM of any two numbers is the least common multiple of two numbers. In our daily life, LCM is used for scheduling events, and distributing any items among others. In this topic, we will learn more about LCM of 54 and 12.

LCM of 54 and 12 for US Students
Professor Greenline from BrightChamps

What is the LCM of 54 and 12

The common multiples of 54 and 12 is 108.  Here, we will learn about the LCM of 2 numbers. Children learn about LCM at younger ages. Here, we will discuss the methods used for finding out LCM.
 

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How to find the LCM of 54 and 12?

Out of many methods, prime factorization method is widely used for its easy approach. Here, we will learn about other methods as well. A few commonly used methods are as follows - 

 

 

  1. Listing Of Multiples
  2. Prime Factorization
  3. Division Method
     
Professor Greenline from BrightChamps

LCM of 54 and 12 Using Listing the Multiplies

Listing multiples can be a tedious method for finding the LCM. Here, the listing of multiples for all these 2 numbers is noted - 

 

 

  • Multiples of 54: 54, 108, 162, 216
  • Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108

 

Then we can see that out of 54 and 12, 108 is the smallest common number that is present in them. So we see that 108 is the LCM of 54 and 12. 
 

Professor Greenline from BrightChamps

LCM of 54 and 12 Using Prime Factorization

The product of the highest power of prime factors of 54 and 12 is the LCM of these numbers. So let us look at it step by step to understand it better.


Breaking the given numbers into their prime factors.


Prime factorization of 54: 2 × 3 × 3 × 3


Prime factorization of 12: 2 × 2 × 3 


Multiplying the highest power of prime factors: 22 × 33  → 4 × 27 = 108


LCM of 54 and 12 is 108.
 

Professor Greenline from BrightChamps

LCM of 54 and 12 Using Division Method

In this method, we will be dividing the given numbers with the common prime factors until all numbers are reduced to 1. Let us look at this step by step and make it easy for the children to learn it.

 

Step 1: Arrange the number in a sequence, divisors, and the numbers are on the left and right sides respectively.


Step 2: For finding the divisor, it is always the smallest common prime factor. Here, the smallest common prime factor is 2. Dividing 54 and 12 by 2. The result is 27 and 6. 


Step 3: As 6 is divisible by 2, again the divisor is 2. Dividing 27 and 6 by 2. Now the result is 27 and 3.


Step 4: Continue dividing the numbers with the smallest prime number until all numbers are reduced to 1.

 

 

The divisors are 2, 2, 3, 3, 3. LCM of 54 and 12 is the product of divisors.


Hence, the LCM of (54 and 12) = 2 × 2  × 3 × 3 × 3 = 108
 

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Common Mistakes and How to Avoid Them in LCM of 54 and 12

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LCM of 54 and 12 Example

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Problem 1

Find the smallest number that is divisible by 54 and 12 exactly.

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Explanation

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Problem 2

Two machines are set to beep at intervals of 54 minutes and 12 minutes, respectively. If both machines beep at 10: 00 AM. When will they next be together?

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Explanation

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Max, the Girl Character from BrightChamps

Problem 3

A school bus schedule repeats every 54 minutes, and a community bus schedule repeats every 12 minutes. If they both arrive at a stop at 7: 00 AM. When is the next time they will arrive together?

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Explanation

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FAQ on LCM of 54 and 12

1.What are the factors of 54 and 12?

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2.What is the LCM of 12 and 54?

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3.What is the LCM of 54, 12, and 66?

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4.What is the LCM of 30 and 35?

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5.What is the GCF of 9 and 15?

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6.How can children in United States use numbers in everyday life to understand LCM of 54 and 12?

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7.What are some fun ways kids in United States can practice LCM of 54 and 12 with numbers?

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8.What role do numbers and LCM of 54 and 12 play in helping children in United States develop problem-solving skills?

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9.How can families in United States create number-rich environments to improve LCM of 54 and 12 skills?

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Professor Greenline from BrightChamps

Important Glossaries of LCM of 54 and 12

  • Factor: A number that will divide two or more numbers, leaving no remainder. For 18 and 24 we have 6 as a common factor, it means both 18 and 24 can be divisible by 6.

 

  • Prime Factorization: When a number can be represented as the factors of prime numbers, it is called prime factorization. The prime factorization of 18 for example is 2×3×3.

 

  • Greatest Common Factor (GCF): GCF is the greatest factor that is common in the given numbers. For example, the GCF of 5, 10, and 15 is 5. Because the common factors of 5 and 10 are 1 and 5.

 

  • Division Method: In the division method, the numbers are divided by the smallest common prime factor till the numbers are reduced to 1. 
     
Professor Greenline from BrightChamps

About BrightChamps in United States

At BrightChamps, we believe numbers are more than just figures—they unlock a world full of possibilities! Our goal is to help children throughout the United States master key math skills, focusing today on the LCM of 54 and 12 with special attention to understanding the LCM—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, keeping score during a Little League baseball game, or managing their allowance to save for cool gadgets, knowing numbers builds confidence for everyday life. Our hands-on lessons make learning enjoyable and straightforward. Since kids in the USA have unique learning styles, we customize our methods to match each child’s needs. From the lively streets of New York City to the sunny beaches of California, BrightChamps brings math alive, making it meaningful and exciting all across America. Let’s make the LCM an exciting part of every child’s math adventure!
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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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: She loves to read number jokes and games.

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