Question

Using prime factorisation method, find the L.C.M. of $32$ and $48$.

Answer 1

Step 1: Find the prime factorisation of $32$ and $48$

$32=2\times 2\times 2\times 2\times 2=2^5$

$48=2\times 2\times 2\times 2\times 3=2^4\times 3$

Step 2: Finding the L.C.M of $32$ and $48$.

To find the L.C.M. , we need to take the highest powers factors from $32$ and $48$ and multiply them.

Then, L.C.M of $32$ and $48$ $=2^5\times 3=96$.

Hence, the L.C.M. of $32$ and $48$ is $96$.