The Lcm Of 12 And 24

LCM of 12 and 24 How to Find LCM of 12, 24? from www.cuemath.com

Introduction

If you are studying mathematics, you must have come across the term LCM. LCM or Least Common Multiple is a term used to describe the smallest number that is a multiple of two or more numbers. In this article, we will discuss the LCM of 12 and 24.

What is LCM?

LCM or Least Common Multiple is the smallest number that is a multiple of two or more numbers. For example, if we want to find the LCM of 4 and 6, we need to list the multiples of 4 and 6 and find the smallest number that appears in both lists. The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, and so on. The multiples of 6 are 6, 12, 18, 24, 30, 36, and so on. The smallest number that appears in both lists is 12. Hence, the LCM of 4 and 6 is 12.

What are multiples?

Multiples are the numbers that result from multiplying a number by another number. For example, the multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, and so on.

What is the LCM of 12 and 24?

To find the LCM of 12 and 24, we need to list the multiples of 12 and 24 and find the smallest number that appears in both lists. The multiples of 12 are 12, 24, 36, 48, 60, 72, and so on. The multiples of 24 are 24, 48, 72, and so on. The smallest number that appears in both lists is 24. Hence, the LCM of 12 and 24 is 24.

How to find LCM?

There are different methods to find the LCM of two or more numbers. One method is to list the multiples of each number and find the smallest number that appears in both lists. Another method is to use prime factorization. In this method, we need to find the prime factors of each number and multiply the highest power of each prime factor. For example, to find the LCM of 12 and 24 using prime factorization, we need to find the prime factors of 12 and 24. The prime factors of 12 are 2 and 3. The prime factors of 24 are 2, 2, 2, and 3. The highest power of 2 is 3 and the highest power of 3 is 1. Hence, the LCM of 12 and 24 is 2^3 × 3^1 = 24.

Why is LCM important?

LCM is important in mathematics because it is used in many applications, such as finding the LCD (Least Common Denominator) of fractions, adding and subtracting fractions with different denominators, and solving equations with fractions. LCM is also used in programming, cryptography, and other fields.

Conclusion

In conclusion, the LCM of 12 and 24 is 24. We can find the LCM of two or more numbers by listing the multiples or using prime factorization. LCM is important in mathematics and other fields.