Hey math adventurers! Today, we’re embarking on a journey into the realm of LCM, aiming to unravel the enchanting connection between the numbers 12 and 18. Brace yourselves for an exploration filled with curiosity and discovery!

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LCM of 12 and 18

Methods for Finding LCM

Prime Factorization Method

Division Method

Listing the Multiples

The LCM of 12 and 18 is 36. Remember, understanding the LCM makes tricky math puzzles a breeze and turns fractions into a piece of cake. Let’s delve into three fascinating methods to unveil it!

Before we plunge into the abyss of discovering the Least Common Multiple (LCM) of 12 and 18, let’s acquaint ourselves with the nifty methods at our disposal. It’s akin to having three unique tools for a special mathematical quest. Here they are:

**Prime Factorization Method**: We’ll find secret numbers that help us figure out the LCM.**Division Method**: It’s like going on a journey of dividing numbers until we get to the LCM.**Listing the Multiples**: We’ll list out the friends of 12 and 18 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 12 and 18. Ready? Let’s go!

Let’s treat numbers as detectives and dissect 12 and 18 into their prime agents:

- 12 = 2 x 2 x 3
- 18 = 2 x 3 x 3

Now, combine these agents to discover the LCM magic: LCM(12, 18) = 2 x 2 x 3 x 3 = 36

Picture an adventurous journey of division! Divide 12 and 18 by their prime agents until we can’t anymore:

Multiply those friendly divisors: LCM (12, 18) = 2 x 2 x 3 x 3 = 36.

Let’s unleash the power of a 100 square to determine the Least Common Multiple (LCM) of 12 and 18. Follow these steps for an engaging exploration:

Multiples of 12: 12, 24, 36, 48, 60, 72, …

Multiples of 18: 18, 36, 54, 72, 90, …

Look for numbers that appear in both lists. In this case, 36 is the smallest number that is a multiple of both 12 and 18.

Therefore, the LCM of 12 and 18 is 36.

And there you have it, budding math explorers! Discovering the LCM of 12 and 18 is akin to uncovering the secret formula for a magical elixir. Keep exploring, keep smiling, and relish the enchanting world of math!

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