Which of the following pairs of numbers has a least common multiple (LCM) of 36?

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Question: Which of the following pairs of numbers has a least common multiple (LCM) of 36?

Options:

Correct Answer: 4 and 9

Solution:

The LCM of 4 and 9 is 36.

Which of the following pairs of numbers has a least common multiple (LCM) of 36?

Which of the following pairs of numbers has a least common multiple (LCM) of 36?

Step 1: Understand what LCM means. LCM stands for Least Common Multiple, which is the smallest number that is a multiple of both numbers in a pair.
Step 2: Identify the numbers we are checking. In this case, we are checking the pair 4 and 9.
Step 3: List the multiples of 4. The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, ...
Step 4: List the multiples of 9. The multiples of 9 are: 9, 18, 27, 36, 45, ...
Step 5: Find the smallest number that appears in both lists of multiples. The number 36 appears in both lists.
Step 6: Conclude that the LCM of 4 and 9 is 36.

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