How do you find the least common multiple of two numbers?

Step-by-step explanation:

Let's say we wanted to find the LCM of 6 and 8.

First, write the prime factorization of both:

6 = 2*3

8 = 2³

Let's include all the exponents:

6 = 2¹*3¹

8 = 2³*3⁰

The LCM needs to have the prime factors with the highest exponents.

So we need prime factors of 2 and 3. The exponent of the 2 will be three, and the exponent of the 3 will be one.

LCM = 2³*3¹

LCM = 24