Question

two positive integers a and b can be written as a=x^2y^2z and b=x^3 y^2 z, where x,y,and z are prime numbers. find the LCM of a and b.

please solve the question.​

Answer 1

HCF by using the prime factorization method.

Step1:

Find the prime factorization of each of the number

Step2:

The product of all common prime factor is the HCF

Here,

⇒a=x×x×y×y

⇒b=x×y×y

common Factors are x×y×y

Thus,  HCF(a,b)=xy²