# How do you find the Least common multiple of 18xy^2, 15y^3?

Mar 12, 2018

The LCM is $3 {y}^{2}$

#### Explanation:

To find the LCM, first find the prime factorization (a composite number being divided into prime numbers being multiplied together).

$18 x {y}^{2} = 3 \cdot 3 \cdot 2 \cdot x \cdot y \cdot y$

$15 {y}^{3} = 3 \cdot 5 \cdot y \cdot y \cdot y$

Now, circle the ones that they have in common. They each have at least one 3 and 2 y's. Multiply these together to get your LCM.