Certify Teacher Practice Test 2025 – 400 Free Practice Questions to Pass the Exam

The least common multiple (LCM) of two even integers a and b can be determined by understanding the relationship between their product and their greatest common divisor (GCD). When both integers are even, they share at least a factor of 2. The LCM can be calculated using the formula LCM(a, b) = (a * b) / GCD(a, b).

Since both integers are even, GCD(a, b) will also be even, at minimum equal to 2 or a multiple thereof. Typically, the simplest case occurs when the GCD is 2, which leads us to conclude that the LCM is half the product of the integers when they are both even.

Thus, when considering the least common multiple of two even integers, it is accurate to state that it can often be represented as ab/2. This reflects the fact that, due to their even nature, the multiplication of a and b is divided by their GCD, which is at least 2.

Other choices either misrepresent the nature of multiplying even integers or do not apply to the LCM concept in the context of integers, regardless of whether they are odd or even. Understanding the LCM in this specific context reveals that the correct