Question

if two positive integers a and b can be expressed as a=x^2 y^5 and b=x^3 y^2. x and y are prime numbers then find lcm and hcf of a,b

Answer 1

Here,a=x²y⁵, b=x³y²

LCM(a,b)=Product of prime factors with highest power
=x³y⁵

HCF(a,b)=Product of factors with lowest power
=x²y²