LCM and HCF

The product of 2 digit numbers is 2160 and their LCM is 180. Find the 2 numbers.



Answer:::

HCF = 2160/ 180 = 12
LCM = HCF x uncommon factors = 12 x uncommon factors
or uncommon factors = 180/ 12 = 15
by observation, the uncommon factors are 3 and 5
so the numbers are 12 x 3 = 36 and 12 x 5 = 60