Question

Can $72$ and $20$ respectively be the LCM and HCF of two numbers? Give reason.

Answer 1

Given,

LCM of two numbers$=72$

HCF of two numbers$=20$

The LCM of two numbers is exactly divisible by the HCF of the numbers.

But, when $72$ divided by $20$, it gives a quotient of $3$ and a reminder of$12$.

$\Rightarrow$$72$ is not exactly divisible by $20$.

Hence, no $72$ , and $20$ can't be the LCM and HCF of two numbers.