Question

Find the LCM of 132 and 60 using Prime Factorization ?

Answer 1

Answer:

660

Step-by-step explanation:

First, let's find the prime factorization for both numbers.

132 = 11 x 12

12 = 3 x 4

4 = 2 x 2

132 = 2 x 2 x 3 x 11

60 = 5 x 12

12 = 3 x 4

4 = 2 x 2

60 = 2 x 2 x 3 x 5

Now, to find the lowest common multiple, we just need to multiply each number the most times it is seen in either number.

132 = 2 x 2 x 3 x 11

60 = 2 x 2 x 3 x 5

The first number is both is 2, which appears at most twice in either list so we will multiply two 2s to find the LCM.

Both numbers also have at most one 3, one 5, and one 11, so to find our LCM, we just need to multiply all these numbers together:

2 x 2 x 3 x 5 x 11 = 660

The LCM of 132 and 60 is 660.

Hope this helped!