# Least common multiple (LCM)

### Least common multiple (LCM)

Like GCF, you will also need to do prime factorization to find the Least Common Multiple (LCM) of numbers. After finding out all the prime factors of each number, we then need to multiply each prime factor the greatest number of times it happens in any numbers. In this lesson, we are going to use the "cake method" to solve the questions.

#### Lessons

Least Common Multiple LCM: The smallest common non-zero multiple of 2 or more whole numbers.

• For the Ladder Method, we can divide all the given numbers by a number.

• Introduction
a)
How to find the least common multiple (LCM)?

• 1.
Using Prime Factorization to Find the Least Common Multiple (LCM)

Find the least common multiple (LCM) using prime factorization:

a)
5, 14

b)
20, 24, 48

c)
10, 24

d)
18, 30, 45

• 2.
Using the "Listing Multiples" Method to Find the Least Common Multiple (LCM)

Find the least common multiple (LCM) using the "Listing Multiples" method:

a)
7, 28

b)
12, 16

c)
18, 30, 45

• 3.
Using the Ladder Method to Find the Least Common Multiple (LCM)

Find the least common multiple (LCM) using the Ladder Method:

a)
24, 30

b)
12, 17

c)
18, 30, 45