Question

Find the least common multiple of 35 and 21

Answer 1

105

Multiples of 35:
35, 70, 105, 140, 175

Multiples of 21:
21, 42, 63, 84, 105, 126, 147

Answer 2

105

Explanation:

Given the following question:

We are given two numbers and we are trying to find the least common multiple (LCM) of the two. In order to find the LCM we have to find the GCM or the greatest common multiple.


`35/7=5`

`21/7=3`

`GCM=7`

Now that we have the GCM we multiply 35, and 21 then divide it by the GCM.


`35*21=735`

`735/7=105`

`LCM=105`

The least common multiple is "105."

Hope this helps.