Least Common Multiple

Front

What is the definition of Least Common Multiple (LCM)?

Back

The Least Common Multiple (LCM) of two or more integers is the smallest positive integer that is divisible by each of the integers.

Front

How do you find the LCM of two numbers using prime factorization?

Back

To find the LCM using prime factorization, factor each number into its prime factors, then take the highest power of each prime that appears in the factorizations and multiply them together.

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What is the LCM of 1 and any number?

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The LCM of 1 and any number is the number itself.

Front

What is the relationship between LCM and GCD (Greatest Common Divisor)?

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The relationship is given by the formula: LCM(a, b) = (a * b) / GCD(a, b).

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How can you find the LCM of three or more numbers?

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To find the LCM of three or more numbers, find the LCM of the first two numbers, then use that result to find the LCM with the next number, and repeat until all numbers are included.

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What is the LCM of 4 and 5?

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The LCM of 4 and 5 is 20.

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What is the LCM of 6 and 8?

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The LCM of 6 and 8 is 24.

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How can listing multiples help in finding the LCM?

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Listing the multiples of each number until a common multiple is found can help identify the LCM.

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What is the LCM of 12 and 15?

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The LCM of 12 and 15 is 60.

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What is the LCM of 9 and 10?

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The LCM of 9 and 10 is 90.