Least Common Multiple (LCM)

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What is the Least Common Multiple (LCM)?

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The LCM of two or more numbers is the smallest multiple that is exactly divisible by each of the numbers.

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How do you find the LCM of two numbers?

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To find the LCM of two numbers, list the multiples of each number and find the smallest multiple that appears in both lists.

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What is the LCM of 4 and 10?

Back

20

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What is the LCM of 8 and 12?

Back

24

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What is the LCM of 5 and 7?

Back

35

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What is the LCM of 2 and 9?

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18

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What is the LCM of 3, 4, and 9?

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36

Front

What is a multiple?

Back

A multiple of a number is the product of that number and an integer.

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What is the relationship between GCD and LCM?

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The product of the GCD (Greatest Common Divisor) and LCM of two numbers is equal to the product of the numbers.

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How can prime factorization help in finding the LCM?

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By finding the prime factors of each number, you can take the highest power of each prime factor to determine the LCM.