1. Finding the LCM and the GCF Using Prime Factorization
150 = 5 x 2 x 3 x = 5 x 5 x 3 x 3

2. 150 = 5 x 2 x 3 x = 5 x 5 x 3 x 3
5 x 2 x 3 x 5
5 x 5 x 3 x 3

3. These are the prime factors that 150 and 225 have in common.3
5 x 2 x 3 x 5
5 x 5 x 3 x 3
These are the prime factors that 150 and 225 have in common.

4. 5 3
5 x 2 x 3 x 5
5 x 5 x 3 x 3
If you multiply these common prime factors together, your will get the greatest common factor of 150 and 225.
5 x 5 x 3 = 75

5. 5 3
5 x 2 x 3 x 5
5 x 5 x 3 x 3
AND
If you multiply ALL the numbers in the center with the numbers that are not crossed off, you will get the Least Common Multiple!!
5 x 5 x 3 x 3 x 2 =
450

6. 60 = ____________ 42 = _____________

7. 32 = ____________ 40 = _____________