Question

Find HCF and LCM of $24$ and $36$ by prime factorisation method.

Answer 1

Finding the HCF and LCM of $24$ and $36$

$$\begin{gathered} 24=2\times 2\times 2\times 3 \\ \Rightarrow 24=2^3\times 3 \\ 36=2\times 2\times 3\times 3 \\ \Rightarrow 36=2^2\times 3^2 \end{gathered}$$

HCF of $\left(24,36\right)=2\times 2\times 3$

$\Rightarrow$ HCF of $\left(24,36\right)=12$

LCM of $\left(24,36\right)=2\times 2\times 3\times 2\times 3$

$\Rightarrow$ LCM of $\left(24,36\right)=72$

Hence the HCF and LCM of $24$and $36$ are $12$ and $72$ respectively .