Question

Find the HCF and LCM of the following integers by applying the prime factorization method
$24,15$ and $36$

Answer 1

$24,15$ and $36$
$24=2\times 2\times 2\times 3=2^3\times 3$
$15=3\times 5$
and $36=2\times 2\times 3\times 3=2^2\times 3^2$
For HCF, taking minimum power of common prime factor
H.C.F $=(3{)}^1=3$
For LCM, taking maximum power of prime factor
L.C.M $=2^3\times 3^2\times 5^1=8\times 9\times 5=360$
So H.C.F $=3$
L.C.M = $360$