Finding the LCM and the GCF Using Prime Factorization 150 = 5 x 2 x 3 x 5 225 = 5 x 5 x 3 x 3

150 = 5 x 2 x 3 x 5 225 = 5 x 5 x 3 x 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. 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.

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 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

60 = ____________ 42 = _____________

32 = ____________ 40 = _____________