Question

If two positive integers a and b are written as a=x³y² and b = xy³ where x , y are prime numbers then find lcm a,b

Answer 1

(b) Given that, a =x3y2 = x × x × x × y × y

and b = xy3 = x × y × y × y

∴ HCF of a and b = HCF (x3y2,xy3) = x × y × y = xy2

[Since, HCF is the product of the smallest power of each common prime factor involved in the numbers]

Answer 2

Answer:

x³y³

Step-by-step explanation:

LCM(a,b)

LCM(x³y²,xy³)=x³y³