# How do you find the LCM of x^3y, x^2y^2?

Mar 3, 2018

${x}^{3} {y}^{2}$

#### Explanation:

${x}^{3} y \implies x \times x \times x \times y$

${x}^{2} {y}^{2} \implies x \times x \times y \times y$

The common factors are $x \times x \times y$

Multiply the other factors to get the $\text{LCM}$

$\implies x \times x \times y \times x \times y$

$\implies x \times x \times x \times y \times y$

$\implies {x}^{3} \times {y}^{2}$

$\implies {x}^{3} {y}^{2}$