One way to find the LCM of 10 and 8 is to start by comparing the prime factorization of each number. To find the prime factorization, you can follow the instructions for each number here:

Here is the prime factorization of 10:

And this is the prime factorization of 8:

When you compare the prime factorization of these two numbers, you want to look for the highest power that each prime factor is raised to. In this case, there are these prime factors to consider: 2, 5

Through this we see that the LCM of 10 and 8 is 40.