Lcm For 5 And 6

LCM of 5 and 6 How to Find LCM of 5, 6? from www.cuemath.com

Introduction

In mathematics, the LCM stands for Least Common Multiple, which is a significant concept used in various mathematical calculations. The LCM of two or more numbers is the smallest number that is divisible by both of them. In this article, we will discuss the LCM of 5 and 6, and how to calculate it.

What is LCM?

LCM is the smallest common multiple of two or more numbers. It is also known as the lowest common multiple or smallest common denominator.

How to find the LCM of 5 and 6?

To find the LCM of 5 and 6, we need to follow a few simple steps. The first step is to list down the multiples of both numbers. Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150 Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120

Method 1: Listing multiples

The second step is to find the common multiples of both numbers. From the above lists, we can see that the common multiples of 5 and 6 are 30, 60, and 90. Out of these, the smallest common multiple is 30, which is the LCM of 5 and 6.

Method 2: Prime Factorization

Another method to find the LCM of two numbers is through prime factorization. In this method, we need to list down the prime factors of both numbers and then multiply the highest powers of each prime factor to get the LCM. Prime factors of 5: 5 (5 is a prime number) Prime factors of 6: 2 x 3 Now, we need to multiply the highest powers of each prime factor. Highest power of 2: 1 (from 6) Highest power of 3: 1 (from 6) Highest power of 5: 1 (from 5) LCM = 2^1 x 3^1 x 5^1 = 30 Therefore, 30 is the LCM of 5 and 6.

Conclusion

In conclusion, the LCM of 5 and 6 is 30. We can find the LCM of any two numbers by listing their multiples or using prime factorization. LCM is a vital concept in mathematics and is used in various mathematical calculations.