Question

What is the lcm of $6$ and $8$?

Answer 1

Determine the LCM of $6$ and $8$.

Apply the prime factorization method to find the lcm of given numbers:

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

The prime factorization of $8$ is $2\times 2\times 2$.

Calculate LCM:

$\begin{array}{rcl}\mathrm{LCM}\left(6,8\right)& =& 2\times 2\times 2\times 3\\ & & \\ \therefore \mathrm{LCM}\left(6,8\right)& =& 24\end{array}$

Hence, the required LCM is $\begin{array}{rcl}\mathrm{LCM}\left(6,8\right)& =& 24\end{array}$