Understanding The Lcm Of 7 And 9

LCM of 7 and 9 How to Find LCM of 7, 9? from www.cuemath.com

Introduction

The least common multiple (LCM) is an important concept in mathematics. It is used to find the smallest multiple that two or more numbers have in common. In this article, we will discuss the LCM of 7 and 9 and how to find it.

What is LCM?

The LCM of two or more numbers is the smallest multiple that is common to all of them. For example, the LCM of 2 and 3 is 6, as 6 is the smallest multiple that both 2 and 3 have in common. Similarly, the LCM of 4, 6, and 8 is 24, as 24 is the smallest multiple that all three numbers have in common.

How to Find LCM?

To find the LCM of two numbers, we can use the following steps: 1. Find the prime factors of the numbers. 2. Multiply each prime factor the greatest number of times it occurs in either number. 3. The product obtained in step 2 is the LCM of the two numbers.

Prime Factors of 7 and 9

The prime factorization of a number is the expression of that number as a product of its prime factors. The prime factors of 7 and 9 are as follows: - 7 = 7 - 9 = 3 x 3

Finding LCM of 7 and 9

Using the steps mentioned above, we can find the LCM of 7 and 9 as follows: 1. Find the prime factors of 7 and 9. We have already done this in the previous section. 2. Multiply each prime factor the greatest number of times it occurs in either number. In this case, the prime factors of 7 and 9 are both 7 and 3. Since 7 occurs only once, we multiply it once. Since 3 occurs twice in 9, we multiply it twice. 3. The product obtained in step 2 is the LCM of the two numbers. Therefore, the LCM of 7 and 9 is 63.

Conclusion

In conclusion, the LCM of 7 and 9 is 63. The LCM is an important concept in mathematics and is used to find the smallest multiple that two or more numbers have in common. To find the LCM of two numbers, we need to find their prime factors and then multiply each prime factor the greatest number of times it occurs in either number.