Question

two positive integer a and b can be expressed as a=x3y5 and b=x4y2,where x and y are prime numbers find hcf and lcm of a and b
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Answer 1

Answer:

Given: a = x3y2 and b = xy3 where a and b are positive integers and x and y are prime numbers. So, the LCM of a and b will be x3y3 .

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

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