What is the least common multiple of 7 and 9?

D. 63

Explanation

List the multiples of 9 until one is also a multiple of 7. The first six positive multiples of 9 are 9, 18, 27, 36, 45, and 54. None of these are multiples of 7. The next multiple, however, is 63, which is a divisible of 7. Therefore, 63 is a common multiple of 7 and 9. Any other common multiple has to be greater, so 63 must be the least common multiple.

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