Least Common Multiple and Greatest Common Factor

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What is the definition of the 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 Least Common Multiple of two numbers?

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To find the LCM of two numbers, you can use the prime factorization method or the listing multiples method. Alternatively, you can use the formula: LCM(a, b) = (a * b) / GCD(a, b), where GCD is the Greatest Common Divisor.

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What is the definition of the Greatest Common Factor (GCF)?

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The Greatest Common Factor (GCF) of two or more integers is the largest positive integer that divides each of the integers without leaving a remainder.

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How do you find the Greatest Common Factor of two numbers?

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To find the GCF of two numbers, you can use the prime factorization method, the listing factors method, or the Euclidean algorithm.

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What is the relationship between LCM and GCF?

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The relationship between LCM and GCF can be expressed with the formula: LCM(a, b) * GCF(a, b) = a * b.

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What is the LCM of 3 and 4?

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The LCM of 3 and 4 is 12.

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What is the GCF of 18 and 24?

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The GCF of 18 and 24 is 6.

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How can you use prime factorization to find the LCM?

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To find the LCM using prime factorization, factor each number into primes, then take the highest power of each prime that appears in the factorizations.

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How can you use prime factorization to find the GCF?

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To find the GCF using prime factorization, factor each number into primes, then take the lowest power of each prime that appears in both factorizations.

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What is the LCM of 5 and 15?

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The LCM of 5 and 15 is 15.