Question

Find the LCM and HCF of $26$ and $91$ and verify that its $LCM\times HCF=$ product of both the numbers.

Answer 1

Prime factorisation of $26=2\times 13$
Prime factorisation of $91=7\times 13$

Hence, LCM of $26,91=2\times 7\times 13=182$
And HCF of $26,91=13$

Now, LCM $\times$ HCF $=182\times 13=2366$
Also, $26\times 91=2366$
i.e., HCF $\times$ LCM $=$ Product of the two numbers