Question

Proof of if two numbers m and n are relatively prime, then (mn) = (m)(n)

Answer 1

note that g c d (m,n) = 1 is most important.

This means that m,n have no common prime factors between them selves.

suppose we do not know if m,n are primes or not. if they are primes than its not a big deal. if they are not primes than. They can be an uniquely factorised by fundamental theorem of Arithmetic. Also, consequently,all the prime factors of m,n are contained in K. hence divisible by both m,n simultaneously

HENCE THIS IS THE ANSWER ......................