# Finding the LCM (least common multiple) and GCF (greatest common factor)

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Finding the LCM (least common multiple) and GCF (greatest common factor)

Prime factorize 24 and 16 2416 2 x 12 4 x 4 4 x 32 x 2 2 x 2 2 x 2

Write the common factors where the Venn Diagram intersects. 24 = 2 x 2 x 2 x 316 = 2 x 2 x 2 x 2

Write the common factors where the Venn Diagram intersects. 24 = 2 x 2 x 2 x 316 = 2 x 2 x 2 x 2 2x2x2

Write the other factors of each number in the other side of the Venn Diagram 24 = 2 x 2 x 2 x 316 = 2 x 2 x 2 x 2 2x2x2 3232

The GCF is the product of the intersection  2x2x2=8 24 = 2 x 2 x 2 x 316 = 2 x 2 x 2 x 2 2x2x2 3232

The LCM is the product of all of the factors listed  3x2x2x2x2=48 24 = 2 x 2 x 2 x 316 = 2 x 2 x 2 x 2 2x2x2 3232

Prime factorize 45 and 36 4536 5 x 9 6 x 6 3 x 33 x 2 3 x 2

Write the common factors where the Venn Diagram intersects. 45 = 3 x 3 x 5 36 = 2 x 2 x 3 x 3

Write the common factors where the Venn Diagram intersects. 45 = 3 x 3 x 5 36 = 2 x 2 x 3 x 3 3 x 3

Write the other factors of each number in the other side of the Venn Diagram 45 = 3 x 3 x 5 36 = 2 x 2 x 3 x 3 3 x 3 52 x 2

The GCF is the product of the intersection  3x3=9 45 = 3 x 3 x 5 36 = 2 x 2 x 3 x 3 3 x 3 52 x 2

The LCM is the product of all of the factors listed  5x3x3x2x2=180 45 = 3 x 3 x 5 36 = 2 x 2 x 3 x 3 3 x 3 52 x 2

Now it’s your turn to try some more!!

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