What Is Lcm Of 6 And 12?

Least Common Multiple of 6 and 12 from www.gcf-lcm.com

Understanding the Basics of LCM

LCM stands for Least Common Multiple. It is the smallest number that is divisible by two or more numbers. To find the LCM of two numbers, you need to find the smallest number that is a multiple of both numbers.

What are Multiples?

Multiples are numbers that are obtained by multiplying a number by another number. For example, the multiples of 2 are 2, 4, 6, 8, 10, and so on. Similarly, the multiples of 3 are 3, 6, 9, 12, and so on.

What is Divisibility?

Divisibility is the ability of a number to be divided by another number without leaving a remainder. For example, 6 is divisible by 3 because 3 divides 6 without leaving a remainder.

How to Find the LCM of 6 and 12?

To find the LCM of 6 and 12, you need to follow these steps:

Step 1: Find the Multiples of 6

The multiples of 6 are 6, 12, 18, 24, 30, and so on.

Step 2: Find the Multiples of 12

The multiples of 12 are 12, 24, 36, 48, and so on.

Step 3: Identify the Common Multiples

The common multiples of 6 and 12 are 12, 24, 36, and so on.

Step 4: Identify the Least Common Multiple

The smallest number that is a multiple of both 6 and 12 is 12. Therefore, the LCM of 6 and 12 is 12.

Why is LCM Important?

LCM is an important concept in mathematics because it is used in various mathematical operations, such as adding and subtracting fractions. In addition, LCM is also used in real-life situations, such as when scheduling appointments or planning events.

Conclusion

To summarize, the LCM of 6 and 12 is 12. To find the LCM of two numbers, you need to find the smallest number that is a multiple of both numbers. LCM is an important concept in mathematics and is used in various mathematical operations and real-life situations.