Find the LCM of 12 and 15

Find the LCM of 16 and 20

12 = 2*2*3

15 = 3 * 5
so we need
two 2s
a 3
and a 5
2*2*3*5 = 60

16 = 2*2*2*2

20 = 2*2*5
we need 4 twos and a five
16*5 = 80

To find the least common multiple (LCM) of two numbers, you can start by listing the multiples of each number and then look for the smallest multiple that they have in common.

For the first problem, let's find the LCM of 12 and 15:

Multiples of 12: 12, 24, 36, 48, 60...
Multiples of 15: 15, 30, 45, 60...

The first multiple that appears in both lists is 60. Therefore, the LCM of 12 and 15 is 60.

For the second problem, let's find the LCM of 16 and 20:

Multiples of 16: 16, 32, 48, 64, 80, 96...
Multiples of 20: 20, 40, 60, 80, 100...

The first multiple that appears in both lists is 80. Therefore, the LCM of 16 and 20 is 80.