# How do you find the LCD for 5/(18x^2y^3) and -3/(24x^4y^5)?

May 21, 2018

$72 {x}^{4} {y}^{5}$

#### Explanation:

Factorize

$\lcm \left(2 \cdot {3}^{2} \cdot {x}^{2} {y}^{3} , {2}^{3} \cdot 3 \cdot {x}^{4} {y}^{5}\right)$

Take the highest exponents

$= {2}^{3} \cdot {3}^{2} \cdot {x}^{4} \cdot {y}^{5}$