What is the least common multiple of 4 and 6?

What is the least common multiple of 4 and 6?

• A. 12
• B. 18
• C. 24
• D. 30

Answer: (A)

To find the least common multiple (LCM) of 4 and 6, we look for the smallest positive integer that is a multiple of both numbers. First, we can 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, 30, ... Next, we identify the common multiples from the lists: - The common multiples of 4 and 6 include 12, 24, and more. Among these, the smallest multiple is 12. Therefore, the least common multiple of 4 and 6 is indeed 12. This means that 12 is the first number that both 4 and 6 can divide evenly without leaving a remainder. Thus, it confirms that the correct answer is 12.

To find the least common multiple (LCM) of 4 and 6, we look for the smallest positive integer that is a multiple of both numbers.

First, we can 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, 30, ...

Next, we identify the common multiples from the lists:

• The common multiples of 4 and 6 include 12, 24, and more.

Among these, the smallest multiple is 12. Therefore, the least common multiple of 4 and 6 is indeed 12. This means that 12 is the first number that both 4 and 6 can divide evenly without leaving a remainder. Thus, it confirms that the correct answer is 12.