# How do you find the Least common multiple of 35, 25?

LCM = 175

#### Explanation:

With LCM questions, I first start with a prime factorization of the numbers in question:

$35 = 5 \times 7$
$25 = 5 \times 5$

The LCM will have all the elements contained within the numbers above, so it'll have the two 5's from 25 and the 7 from 35 (the 5 in 35 is already counted in the 5's coming from the 25). It works out to be:

$5 \times 5 \times 7 = 25 \times 7 = 175$

$35 \times 5 = 175$
$25 \times 7 = 175$