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