Question

If two positive integers, x and y, share no prime factors, the LCM is...

A) x * y
B) x + y
C) xy / 2
D) xy - 1

Answer 1

Option (A), If two positive integers, x and y, share no prime factors, the LCM is given by the formula LCM(x, y) = x * y.

Step-by-step explanation:

The correct answer is A) x * y. When two positive integers, x and y, have no prime factors in common, their least common multiple (LCM) is the product of the two numbers.

This means that LCM(x, y) = x * y.

For example, let's say x = 4 and y = 7. In this case, the LCM(4, 7) = 4 * 7 = 28.

Therefore, if two positive integers, x and y, share no prime factors, the LCM is given by the formula LCM(x, y) = x * y.