Question

What is the lcm of $16$ and $24$?

Answer 1

Determine the $LCM$ of $16$ and $24$ by using the prime factorization method.

The prime factorization of $16$ and $24$:

$$\begin{gathered} 16=2\times 2\times 2\times 2 \\ 24=2\times 2\times 2\times 3 \end{gathered}$$.

calculate the LCM of the given numbers:

$\begin{array}{rcl}LCM\left(16,24\right)& =& 2\times 2\times 2\times 2\times 3\end{array}$

$\begin{array}{rcl}\therefore LCM\left(16,24\right)& =& 48\end{array}$

Hence, the required solution is $48$.