What is the LCM of 96 and 36?

Answer 1

The acronym LCM means least common multiple - or lowest common multiple

This is the smallest number which is a product of the numbers given.

To calculate it, we need to get the factors of all the given numbers.

the factors of 96 are 2, 2, 2, 2, 2 and 3

the factors of 36 are 2, 2, 3 and 3

Any factors which occur in both numbers need only be used once. All the factors of 36 are in the factors of 96 with the exception of the second 3.

So, if we multiple 2, 2, 2, 2, 2, 3 and 3 we will get the lowest common multiple - and the result is 288

288 / 36 = 8

288 / 96 = 3

As 8 and 3 have no common factors we can see that there is no lower number which could be a common multiple of 36 and 96
288

Answer 2

288