Question

Using prime factorisation, find the HCF and LCM of$23,31$. Verify that $HCF\times LCM=productofgivennumbers$

Answer 1

Given numbers are $23$and $31$.

These are prime numbers. The $LCM$of two or more prime numbers is equal to their product.

$LCM$of $23$and $31=23\times 31=713$

$HCF$of all prime numbers is $1$.

So $HCF$of $23$and $31$$=1$

Now verify, $\text{HCF × LCM = product of given numbers}$

$\Rightarrow 1\times 713=23\times 31$

$\Rightarrow 713=713$

Therefore, $LHS=RHS$ ,

Hence verified.