What is the LCM of 13b^3, 7b^2?

Aug 7, 2018

color(magenta)(L C M = 91 b^3

Explanation:

To find L C M of $13 {b}^{3} , 7 {b}^{2}$

$\text{Factors of } 13 {b}^{3} = 13 \cdot \textcolor{red}{b \cdot b} \cdot b$

$\text{Factors of } 7 {b}^{2} = 7 \cdot \textcolor{red}{b \cdot b}$

$\therefore L C M = 13 \cdot \textcolor{red}{b \cdot b} \cdot b \cdot 7 = 91 {b}^{3}$