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.

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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 two numbers using listing multiples?

Back

To find the LCM by listing multiples, list the multiples of each number until you find the smallest common multiple.

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What is the LCM of two prime numbers?

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The LCM of two prime numbers is the product of the two numbers.

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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 do you find the LCM of three numbers?

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To find the LCM of three numbers, first find the LCM of two of the numbers, then find the LCM of that result with the third number.

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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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Can the LCM of two numbers be smaller than both numbers?

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No, the LCM of two numbers is always greater than or equal to the larger of the two numbers.