Question

Two positive integers a and b can be written as a = x³y² and b = xy³. x, y are prime numbers. Find LCM (a, b). 

Answer 1

Given: a = x³y² and b = xy³ where a and b are positive integers and x and y are prime numbers. 

a = x³y² 

`⇒ a = x × x xx x xx y xx y`

and b = xy³ 

`=> b = x xx y xx y xx y`

So, the LCM of a and b will be x³y³ .