if two positive integers p and q are written as p=a^2b^3 and q=a^3b,a,b are prime numbers then verify LCM(p,q) * HCF(p,q)=pq
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p = a*a*b*b*b
q = a*a*a*b
HCF = a*a*b
LCM = a*a*a*b*b*b
LCM*HCF = N1*N2
a*a*a*a*a*b*b*b*b = pq
a^2b^3*a^3b = pq
pq = pq
hence proved .
q = a*a*a*b
HCF = a*a*b
LCM = a*a*a*b*b*b
LCM*HCF = N1*N2
a*a*a*a*a*b*b*b*b = pq
a^2b^3*a^3b = pq
pq = pq
hence proved .
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