Least Common Multiple (LCM)

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

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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?

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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 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 relationship between GCD (Greatest Common Divisor) and LCM?

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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 more than two numbers?

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To find the LCM of more than two 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 1 and any number?

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

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What is the LCM of two identical numbers?

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The LCM of two identical numbers is the number itself.

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How can you find the LCM using the listing method?

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

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What is the LCM of 8 and 12?

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The LCM of 8 and 12 is 24.

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What is the LCM of 5 and 10?

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The LCM of 5 and 10 is 10.