# How do you find the least common multiple of these two expressions 10y^2w^6u^5, 6y^4w^7?

May 30, 2018

L C M = color(purple)(30 * y^4 * w^7 * u^5

#### Explanation:

To find LCM of $10 {y}^{2} {w}^{6} {u}^{5} , 6 {y}^{4} {w}^{7}$

Factors of $10 {y}^{2} {w}^{6} {u}^{5} = \textcolor{red}{2} \cdot 5 \cdot \textcolor{red}{{y}^{2} \cdot {w}^{6}} \cdot {u}^{5}$

Factors of $6 {y}^{4} \cdot {w}^{7} = \textcolor{red}{2} \cdot 3 \cdot \textcolor{red}{{y}^{2}} \cdot {y}^{2} \cdot \textcolor{red}{{w}^{6}} \cdot w$

L C M = 2 * 5 * 3 * y^4 * w^7 * u^5 = color(purple)(30 * y^4 * w^7 * u^5