Question

If two positive integers p and q are written as p = a2b3 and q = a3b; a, b are prime numbers, then verify: LCM (p, q) × HCF (p, q) = pq

Answer 1

this is the answer of the question u asked

Answer 2

Given : p = a^2 b^3 and q = q^3 b.

LCM (p, q) = a^3 b^3  

HCF (p, q) = a^2b

L.H.S = LCM (p, q) × HCF (p, q) = a^5 b^4

= (a^2 b^3) (a^3 b)

= pq

LCM (p, q) × HCF (p, q) = pq

L.H.S. = R.H.S.