Question

How do you find the LCD of 8x , 25y?

Answer 1

To find the least common denominator, we look for the smallest number that both numbers can divide into, which is `200xy`

Explanation:

To find the least common denominator, we look for the smallest number that both numbers can divide into. To do that, I like to break the numbers we are working with down into their constituent parts and start from there.

Let's do 8x first.

`8x=2*2*2*x` - so our LCD needs to have 3 "2's" and an x

`25y=5*5*y` - so our LCD also needs to have 2 "5's" and a y

Put the whole thing together to get:

`2*2*2*5*5*x*y=200xy`