Question

If two positive integers p and q are written as p=a square b cube , q=a cube b are prime numbers then verify, LCM(P,Q) MULTIPLY HCF(P,Q) = PQ

Answer 1

LCM (p, q) = a³b³

HCF (p, q) = a²b

LCM (p, q) × HCF (p, q) = a5b⁴

= (a²b³) (a³b)

= pq