Question

Using prime factorization, find the HCF and LCM of $36,84.$

Also verify that: HCF $\times LCM=$ product of given numbers.

Answer 1

Prime factor of given no.s

$36=2\times 2\times 3\times 3$

$84=2\times 2\times 3\times 7$

$LCM=2\times 2\times 3\times 3\times 7=252$

$HCF=2\times 2\times 3=12$

$LCM\times HCF=1524$

$Product=36\times 48=1524$

Hence proved.

$HCF\times LCM=$ product of given numbers.