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To find the least common multiple of two numbers, they factor those numbers and take the maximum factor values to derive the LCM.

15: 3 x 5
18: 3 x 3 x 2 = 3^2 x 5


So, taking the maximum factors, one gets


2 x 3^2 x 5 = 2 x 9 x 5 = 90


90 is the least common multiple between them.


To get more multiples, just start with the least common one, and add it to itself until you derive enough multiples:


90 is the first
90 + 90 = 180 is the second
180 + 90 = 270


...

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Q: What are the common multiples of 15 and 18?
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