Understanding Least Common Multiple (LCM) through Prime Factorization

This video tutorial explains how to find the least common multiple (LCM) using prime factorization. It begins with an introduction to the concept and then provides several examples, including finding the LCM of numbers like 3 and 4, 6 and 9, 24 and 32, 12, 15, and 20, and finally 8, 10, 12, and 15. The tutorial demonstrates both the list method and prime factorization method to find the LCM, emphasizing the importance of using the highest power of each prime factor present in the numbers.

What is the least common multiple of 3 and 4?

• 24

• 6

• 12

• 9

Which of the following is a common multiple of 6 and 9?

• 12

• 30

• 18

• 24

Using prime factorization, what is the LCM of 6 and 9?

• 36

• 12

• 18

• 24

What is the least common multiple of 24 and 32?

• 72

• 96

• 64

• 48

How many twos are used in the prime factorization of the LCM of 24 and 32?

• 6

• 5

• 4

• 3

What is the LCM of 12, 15, and 20?

• 60

• 75

• 45

• 30

Which number is not a factor of the LCM of 12, 15, and 20?

• 3

• 5

• 4

• 7

What is the LCM of 8, 10, 12, and 15?

• 120

• 100

• 150

• 90

In the LCM of 8, 10, 12, and 15, how many threes are used in the prime factorization?

• 4

• 3

• 2

• 1

Which of the following is a factor of the LCM of 8, 10, 12, and 15?

• 6

• 8

• 10

• 14