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) x HCF (p,q)= pq
if two positive integers p and q are written as p= a²b³ and q=a³b ; a,b are prime numbers then verify:
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Step-by-step explanation:
P= a^2b^3
Q= a^3b
Now,
Hcf = a^2b
LCM = a^3b^3
LCM *Hcf = a^2 *b *a^3*b^3
= a^2*b^3*a^3*b
=pq