Question

Two positive integers p and q are written as p=a^2b^3 and q=a^3b.aand b are co-prime numbers then verify L.C.M(p,q)*H.C.F(p,q)=pq

Answer 1

H C.F(p,q)=a^2 b. L.C.M=a^3 b^3. p q =a^5× b^4. HCF ×LCM= a^5 b^4 . so HCF×LCM= p q .