Which of the following is the least common multiple (LCM) of 9 and 12?

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Question: Which of the following is the least common multiple (LCM) of 9 and 12?

Options:

Correct Answer: 36

Solution:

The LCM of 9 and 12 is 36, as it is the smallest number that both can divide evenly.

Which of the following is the least common multiple (LCM) of 9 and 12?

Which of the following is the least common multiple (LCM) of 9 and 12?

Step 1: List the multiples of 9. The first few are 9, 18, 27, 36, 45, ...
Step 2: List the multiples of 12. The first few are 12, 24, 36, 48, ...
Step 3: Find the smallest number that appears in both lists. The multiples of 9 are 9, 18, 27, 36, 45 and the multiples of 12 are 12, 24, 36, 48.
Step 4: The smallest number that is in both lists is 36.
Step 5: Therefore, the least common multiple (LCM) of 9 and 12 is 36.

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