Question

If two positive integers a and b are written as a = x³y² and b = xy³, where x, y are prime numbers, then the result obtained by dividing the product of the positive integers by the LCM (a, b) is 

(a) xy 

(b) xy² 

(c) x³y³ 

(d) x²y²

Answer 1

Correct option is (c) x³y³

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 × x × y × y

and b = xy³ 

⇒ b = x × y × y × y

So, the LCM of a and b will be x³y³.

Answer 2

Correct option is (c) x³y³