Discovering the Least Common Multiple of 9 and 12.

Are you struggling to find the least common multiple of 9 and 12? Don’t worry, you’re not alone! Many people find this task challenging, but with a few simple steps, it can be easy.

Firstly, let’s define what the least common multiple (LCM) is. In basic terms, it is the smallest number that both 9 and 12 can divide into without leaving a remainder. To find this number, we need to look for the multiples of both numbers until we find the smallest one that they have in common.

Let’s start with 9. The multiples of 9 are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, and so on. Now let’s move on to 12. Its multiples are 12, 24, 36, 48, 60, 72, 84, 96, and so on.

We can see that both 9 and 12 have a multiple of 36 in common. Therefore, 36 is the least common multiple of 9 and 12.

Another method to find the LCM involves finding the greatest common factor (GCF) first. In this case, the GCF of 9 and 12 is 3, as they both share 3 as a factor. Next, we divide each number by the GCF and multiply the result.

9 divided by 3 is 3, and 12 divided by 3 is 4. We then multiply 3 and 4 to get 12, which is the LCM.

In conclusion, there are several methods to find the LCM of two numbers. Whether you use the method of finding common multiples or the GCF method, the result will always be the same. With practice, finding the LCM of 9 and 12 (or any other numbers) will become second nature to you.