Question

If the LCM of (x,y) is p and the GCF of (x,y) is q, then xy =

A) p/q
B) q/p
C) p + q
D) p - q

Answer 1

If the LCM of (x,y) is p and the GCF of (x,y) is q, then xy = p*q, which is not listed among the provided answer options.

Step-by-step explanation:

If the LCM of (x, y) is p and the GCF of (x, y) is q, then the relationship between the product of the two numbers (x*y) and the LCM and GCF is given by xy = p*q. This is a well-known result in number theory related to the properties of the least common multiple and the greatest common factor. Therefore, none of the options A) p/q, B) q/p, C) p + q, D) p - q are correct.

The correct formula is derived from the idea that the LCM times the GCF of two numbers equals the product of the numbers themselves. So the correct answer is not listed among the provided options.