# LCM of 6 and 9:

##### Exploring the Different Methods

Hello, young math explorers! Today, we’re embarking on a thrilling journey to uncover the magical connection between the numbers 6 and 9. Get ready for an exciting adventure into the fascinating world of mathematics!

# LCM of 6 and 9:

##### Exploring the Different Methods

Hello, young math explorers! Today, we’re embarking on a thrilling journey to uncover the magical connection between the numbers 6 and 9. Get ready for an exciting adventure into the fascinating world of mathematics!

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LCM of 6 and 9

Methods for Finding LCM

Prime Factorization Method

Division Method

Listing the Multiples

## What is LCM of 6 and 9?

The LCM of 6 and 9 is 18. Understanding the LCM is like having a key to unlock tricky math puzzles and make fractions your friends. Let’s explore three fantastic methods to unveil this enchanting number!

## How to Find LCM of 6 and 9?

Before we dive into our quest to find the Least Common Multiple (LCM) of 6 and 9, let’s discover the incredible methods we can use. It’s like having three magical tools for a special mission. Here they are:

1. Prime Factorization Method: We’ll find secret numbers that help us figure out the LCM.
2. Division Method: It’s like going on a journey of dividing numbers until we get to the LCM.
3. Listing the Multiples: We’ll list out the friends of 6 and 9 until we find the one they both like – that’s our LCM.

Now, let’s use these tools to solve the mystery of the LCM for 6 and 9. Ready? Let’s go!

### 1. Prime Factorization Method

Imagine numbers as detectives and break down 6 and 9 into their special prime agents:

• 6 = 2 x 3
• 9 = 3 x 3

Now, combine these agents to discover the LCM magic: LCM(6, 9) = 2 x 3 x 3 = 18.

### 2. Division Method

Embark on a division journey! Divide 6 and 9 by their prime agents until you can’t anymore:

Multiply those divisors: LCM (6, 9) = 2 x 3 x 3 = 18.

### 3. Listing Method

Let’s unleash the power of a 100 square to find the Least Common Multiple (LCM) of 6 and 9. Follow these steps for an engaging exploration:

##### 1. Identify multiples of the first number (6)

Multiples of 6: 6, 12, 18, 24, 30, …

##### 2. Identify multiples of the second number (9)

Multiples of 9: 9, 18, 27, 36, 45, …

##### 3. Find the smallest common multiple

Look for numbers that appear in both lists. In this case, 18 is the smallest number that is a multiple of both 6 and 9.

Therefore, the LCM of 6 and 9 is 18.

And there you have it, young math adventurers! Finding the LCM of 6 and 9 is like discovering a secret door that opens up to a world where numbers dance, laugh, and play together. Keep exploring, keep smiling, and enjoy the enchanting world of math!

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