LCM

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4 Terms

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What does LCM stand for?

LCM stands for Lowest Common Multiple.

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What is the Lowest Common Multiple (LCM) of two or more numbers?

The Lowest Common Multiple (LCM) is the smallest positive integer that is a multiple of all the given numbers.

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What are some common methods for finding the LCM of two or more numbers?

  1. Listing Multiples: List multiples of each number until a common multiple is found. 2. Prime Factorization: Find the prime factorization of each number and multiply the highest power of each prime factor.
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Find the LCM of 4 and 6.

  1. Listing Multiples: - Multiples of 4: 4, 8, 12, 16, 20, … - Multiples of 6: 6, 12, 18, 24, … The LCM of 4 and 6 is 12. 2. Prime Factorization: - 4 = 2^2 - 6 = 2 \times 3 The highest power of 2 is 2^2, and the highest power of 3 is 3^1. LCM = 2^2 \times 3^1 = 4 \times 3 = 12.