# What is the LCD between 5/(18x^2y^3) and -3/(24x^4y^5)?

$6 {x}^{2} {y}^{3} \left(4 {x}^{2} {y}^{2}\right)$
factor out $6 {x}^{2} {y}^{2}$ from both and the right side is left with
$6 {x}^{2} {y}^{3} \left(4 {x}^{2} {y}^{2}\right)$ so you'll have to multiply the other side by
$\left(\frac{4 {x}^{2} {y}^{2}}{4 {x}^{2} {y}^{2}}\right)$
$\left(\frac{5 \left(4 {x}^{2} {y}^{2}\right)}{\left(6 {x}^{2} {y}^{3}\right) \left(4 {x}^{2} {y}^{2}\right)}\right) , \left(- \left(\frac{3}{\left(6 {x}^{2} {y}^{3}\right) \left(4 {x}^{2} {y}^{2}\right)}\right)\right)$