The Least Common Multiple Of 25 And 30

LCM of 25 and 30 How to Find LCM of 25, 30? from www.cuemath.com

Introduction

As a teacher, one of the most important topics to teach in mathematics is finding the least common multiple (LCM) of two or more numbers. In this article, we will focus on finding the LCM of 25 and 30.

What is LCM?

LCM is the smallest multiple that is common to two or more numbers. In other words, it's the smallest number that is divisible by both 25 and 30 without leaving a remainder.

Method 1: Prime Factorization

One of the most common methods to find LCM is prime factorization. To use this method, we need to find the prime factors of both 25 and 30.

Prime factorization of 25:

25 = 5 x 5

Prime factorization of 30:

30 = 2 x 3 x 5

Multiplying the Prime Factors

Next, we need to multiply the prime factors of both numbers. However, we only need to include each prime factor once, and the highest power of each prime factor.

LCM of 25 and 30 = 2 x 3 x 5 x 5 = 150

Method 2: Listing Multiples

Another method to find LCM is by listing the multiples of each number until we find a common multiple.

Multiples of 25: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, ...

Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, ...

LCM of 25 and 30 = 150

Conclusion

In conclusion, there are different methods to find the LCM of two or more numbers. The two methods discussed in this article are prime factorization and listing multiples. Regardless of the method used, the LCM of 25 and 30 is 150.