What is theLCM of 136 and 126?

Answer 1

Firstly, let's find the prime factors of these numbers:

136 = 2 * 2 * 2 * 17

126 = 2 * 3 * 3 * 7

So to find the LCM, we look for the highest powers of all the prime factors here and multiply them together.

2 appears at most 3 times (in the factorisation of 136) so we take 2 ^ 3.

3 appears at most 2 times (in the factorisation of 126) so we take 3 ^ 2.

7 appears at most 1 time (in the factorisation of 126) so we take 7.

17 appears at most 1 time (in the factorisation of 136) so we take 17.

Now, we multiply them together: 2 * 2 * 2 * 3 * 3 * 7 * 17 = 8568

So the LCM of 136 and 126 is 8568.