Question

What is the lcm of $6$ and $7$?

Answer 1

Determine the $\mathrm{LCM}\left(6,7\right)$.

Apply the prime factorization method to find $\mathrm{LCM}\left(6,7\right)$:

The prime factorization of $6$ is $2\times 3$.

The prime factorization of $7$ is $7$.

Now, calculate the LCM of $6$ and $7$:

$\begin{array}{rcl}& \Rightarrow & \mathrm{LCM}\left(6,7\right)=2\times 3\times 7\\ & & \end{array}$

$\begin{array}{rcl}\therefore \mathrm{LCM}\left(6,7\right)& =& 42\end{array}$

Hence, $\mathrm{LCM}\left(6,7\right)=42$