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Question

The least common multiple of 6 and 7 is

A
12
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B
42
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C
21
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Solution

The correct option is B 42
Remember: The least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers.

List the multiples of each number. Find the smallest number that appears in both lists.

Multiples of 6: 6, 12, 18, 24, 30, 36, 42

Multiples of 7: 7, 14, 21, 28, 35, 42

The first common multiple that appears in both numbers 6 and 7 is 42. Hence, the least common multiple of 6 and 7 is 42.

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