Factoring and Multiples

What is the least common multiple of 8 and 10?

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Answer

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10/14/2017

The LCM of 8 and 10 is: 40

Start by showing some multiples of both numbers:

Multiples of 8: 8, 16, 24, 32, 40, 48, ...

Multiples of 10: 10, 20, 30, 40, 50, ...

The lowest common multiple is the lowest multiple that these two numbers have in common, making 40 the lowest common multiple in this case.

Another way of doing this is to factor both of the numbers and multiply factors (skipping redundancies):

8: 2, 4

10: 2, 5

2*4*5 = 40

The LCM is 40.