Try to understand why is so.

take two numbers a and b

The prime factorization of those numbers is

a= d,d,e,r

b=d,e,g,h,i

HCF of a and b = d,e

LCM of a and b = d,e,d,r,g,h,i

Product of HCF and LCM = d.e.d.e.d.r.g.h.i ---------> d^3.e^2.r.g.h.i

Product of Numbers = d.d.e.r.d.e.g.h.i --------------> d^3.e^2.r.g.h.i

in my opinion it is better to understand any theorem/rule than to remember it.

Hope it clears!

Regards,

Abhijit.

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