Explaining The Least Common Multiple Of 14 And 21

LCM of 14 and 21 How to Find LCM of 14, 21? from www.cuemath.com

Introduction

As a professional teacher, it is important to understand the concept of Least Common Multiple (LCM). LCM is the smallest positive integer that is a multiple of two or more numbers. In this article, we will discuss the LCM of 14 and 21, and explain the solution in relaxed English language.

Methodology

To find the LCM of two numbers, we need to follow a specific methodology. First, we need to find the prime factors of the given numbers. Then, we need to identify the common prime factors and multiply them. Finally, we need to multiply the remaining prime factors to get the LCM.

Finding the Prime Factors of 14 and 21

Let's start by finding the prime factors of 14 and 21. The prime factors of 14 are 2 and 7, while the prime factors of 21 are 3 and 7.

Identifying the Common Prime Factors

Now, we need to identify the common prime factors between 14 and 21. In this case, the common prime factor is 7.

Multiplying the Common Prime Factors

We need to multiply the common prime factors. Therefore, LCM of 14 and 21 is 7.

Multiplying the Remaining Prime Factors

As we did not have any remaining prime factors, our LCM would be 7.

Conclusion

The LCM of 14 and 21 is 7. By following the above methodology, we can easily find the LCM of any two numbers. It is a crucial concept in mathematics that is used in various fields of study. As a teacher, it is important to understand and explain the concept of LCM to students in a simplified manner.