Question

The gcd of two positive integers is $81$ and their $1.c.m$ is $5103$. Find the numbers.

Answer 1

$GCD=81$

Say the numbers are $81a$ and $81b$

$\therefore LCM=81\times a\times b=5103$

$ab=63$,

$\therefore a=7,b=9$

Hence, the numbers are $81a=567,81b=81b=729$.