Question

If two positive integers p and q are written as p=a2b3 and q=a2b and a and b are prime no and verify when lcmpq×hcf of p.q. =p.q

Answer 1

Here HCF (p,q ) will be
${a}^{2} b$
Now LCM of the numbers
${a}^{2} {b}^{3}$
Now HCF * LCM = PRODUCT OF TWO NUMBERS
${a}^{2}b \times {a}^{2} {b}^{3} = {a}^{2} {b}^{3} \times {a}^{2}b$