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

$90 x {y}^{3}$
$18 x {y}^{2} = 2 \cdot {3}^{2} \cdot x \cdot {y}^{2}$
$15 {y}^{3} = 3 \cdot 5 \cdot {y}^{3}$
$\therefore L C M = 2 \cdot {3}^{2} \cdot 5 \cdot x \cdot {y}^{3} = 90 x {y}^{3}$