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

##### 1 Answer

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

#### 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.

$8 x = 2 \cdot 2 \cdot 2 \cdot x$ - so our LCD needs to have 3 "2's" and an x

$25 y = 5 \cdot 5 \cdot y$ - so our LCD also needs to have 2 "5's" and a y

Put the whole thing together to get:

$2 \cdot 2 \cdot 2 \cdot 5 \cdot 5 \cdot x \cdot y = 200 x y$