How do you find the lmc using prime factorization?

Answer 1

I am assuming you meant LCM instead of LMC.

A few things you have to know first.

1) x0=1 This means that any number raised to the zero power is always 1.

2) x1= x This means that any number raised to the first power is simply that number

3)1x = x This means that any number multiplied by 1 is always just the number.

15 = 3 x 5 = 20 x 31 x 5 1

18 = 2 x 3 x 3 = 21 x 32 x 50

So, you then take the number with the highest power in each prime factor category. In this case 21, 32, and 5 1, and then you multiply them together.

So 21 x 32 x 5 1 = 90. So 90 is the LCM of 15 and 18.