Answer
$\text{LCM}= m-6$.
Work Step by Step
Given \begin{equation}
\frac{2 m}{m-6}, \quad \frac{7 m}{6-m}.
\end{equation} Note that the second fraction can be rewritten as: \begin{equation}
\begin{aligned}
\frac{7 m}{6-m}&=\frac{7m}{-(m-6)} \\
&=\frac{-7m}{m-6}.
\end{aligned}
\end{equation} The two fractions now have the same denominator. Hence, the $\text{LCM}= m-6$.
