Question

l.c.m of p² and q² is k and g.c.m of pand q is h show that p²q³=h²k​

Answer 1

Answer:

H.C.F.(p,q)=a 2 b

L.C.M.(p,q)=a 3 b 2

L.C.M.(p,q)×H.C.F.(p,q)=a 5 b 3

pq=a 5 b 3

Therefore, L.C.M.(p,q)×H.C.F.(p,q)=pq.

thanks