Understanding Lcm Of 6 And 7

LCM of 6 and 7 How to Find LCM of 6, 7? from www.cuemath.com

Introduction

The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both the numbers. In this article, we will discuss the LCM of 6 and 7.

What is LCM?

LCM is the smallest multiple of two or more numbers. It is also known as the lowest common multiple. We use LCM in many mathematical operations such as addition, subtraction, multiplication, and division.

How to Find LCM?

To find the LCM of two numbers, we need to list out the multiples of each number and find the smallest number that is common in both the lists. For example, the multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, and so on. The multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, and so on.

Method 1: Listing Multiples

We can list out the multiples of both 6 and 7 and find the smallest common multiple. In this case, the smallest common multiple is 42. Therefore, the LCM of 6 and 7 is 42.

Method 2: Prime Factorization

We can also find LCM by using prime factorization. To find LCM using prime factorization, we need to find the prime factors of both the numbers and multiply them together. In this case, the prime factors of 6 are 2 x 3 and the prime factors of 7 are 7. Therefore, the LCM of 6 and 7 is 2 x 3 x 7 = 42.

Why is LCM Important?

LCM is important in many mathematical operations such as addition, subtraction, multiplication, and division. For example, when adding or subtracting fractions with different denominators, we need to find the LCM of the denominators to make them equal. When multiplying or dividing fractions, we need to simplify them by finding the LCM of the numerators and denominators.

Conclusion

In conclusion, the LCM of 6 and 7 is 42. We can find the LCM by listing out the multiples or using prime factorization. LCM is important in many mathematical operations and is used to simplify fractions, solve equations, and find common denominators.