Question

If two positive integers A and B can be
Enpressed as A = xy^3 and B= xy^2z
x and y being prime
numbers then LCM
(A,B) ​

Answer 1

Step-by-step explanation:

I suppose the two numbers are a = x^2*y^5 and b = x^3*y^2

Then the LCM of a and b = x^3*y^5. The HCF = x^2*y^2

Check: The product of a and b should be the same as the product of the HCF and LCM.

Product of a and b = x^2*y^5*x^3*y^2 = x^5*y^7

Product of HCF and LCM = x^2*y^2*x^3*y^5 = x^5*y^7 . Correct

Therefore the LCM of a and b = x^3*y^5.