Introduction Introduction # Least Common Multiple (LCM)

INTRO
A multiple of a given number is what you get when you multiply the given number by another number.
Since there is an infinite amount of numbers you can multiply by, there is an infinite amount of multiples for any number. The list goes on and on like magic . For example, let’s take a look at multiples of :
 Multiples of
The Least Common Multiple (LCM) is the smallest multiple two or more numbers have in common.
 Multiples of Multiples of
When we organize the factors from least to greatest, we can easily see that the LCM of and is .

### Least Common Denominator

We can use the LCM to find a common denominator when adding and subtracting fractions. The LCM of the denominators is the least common denominator.
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Lesson
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Practice

CALCULATOR

## LCM Calculator

Find the least common multiple, or LCM, ofand.
KEY STEPS

## How to Find the LCM

### Step 1. Remember what a multiple is.

A multiple is the product of a number with any other number.

### Step 2. Find the first multiple of each number.

We start by multiplying each number by .

### Step 3. Find the next multiple of each number.

Multiply each number by the next integer.

### Step 4. Check for the least common multiple.

Look for a multiple that shows up for both numbers. If you don't see one, repeat Step 3. If you do see one, stop 🛑. This is the least common multiple.
LESSON
Finding the LCM

## Finding the LCM

A multiple of a given number is what you get when you multiply the given number by another number.
When we have two or more given numbers, we can compare their multiples to see which ones they have in common.
The smallest multiple they share is called the Least Common Multiple (LCM).

### What is the difference between GCF and LCM?

 Greatest Common Factor (GCF) Least Common Multiple (LCM) Largest factor two or more numbers have in common. Smallest multiple two or more numbers have in common. Example: GCF of and is .Factors of : Factors of : Example: LCM of and is .Multiples of : Multiples of :

### How to find the LCM using the GCF

The LCM of two numbers (let's call them and ) is equal to the product of the two numbers divided by their GCF.For example:
Let’s walk through step-by-step examples of how to find the LCM of numbers!
PRACTICE
Finding the LCM

## Practice: Finding the LCM

Question 1 of 10: Find the LCM of 9 and 12.

### Step 1. Remember what a multiple is.

A multiple is

CONCLUSION
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