What is the least common multiple (LCM) of 4 and 6?

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Multiple Choice

What is the least common multiple (LCM) of 4 and 6?

Explanation:
To determine the least common multiple (LCM) of two numbers, we look for the smallest multiple that both numbers share. In this case, we want to find the LCM of 4 and 6. First, we list the multiples of each number: - The multiples of 4 are: 4, 8, 12, 16, 20, 24, ... - The multiples of 6 are: 6, 12, 18, 24, ... Next, we identify the common multiples from these lists. The first multiple that appears in both lists is 12. Since the LCM is defined as the smallest number that is a multiple of both numbers, 12 is indeed the least common multiple of 4 and 6. Thus, the correct answer is the least common multiple: 12.

To determine the least common multiple (LCM) of two numbers, we look for the smallest multiple that both numbers share. In this case, we want to find the LCM of 4 and 6.

First, we list the multiples of each number:

  • The multiples of 4 are: 4, 8, 12, 16, 20, 24, ...

  • The multiples of 6 are: 6, 12, 18, 24, ...

Next, we identify the common multiples from these lists. The first multiple that appears in both lists is 12. Since the LCM is defined as the smallest number that is a multiple of both numbers, 12 is indeed the least common multiple of 4 and 6.

Thus, the correct answer is the least common multiple: 12.

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