LCM of 14 and 24

Looking for the LCM of 14 and 24? You’ve come to the right place. The LCM, or Least Common Multiple, is a fundamental concept in mathematics that finds its use in various fields such as fractions, algebra, and more. In this article, we’ll explore the LCM of 14 and 24 and how to calculate it.

The LCM of 14 and 24 is 168. To understand how we arrive at this answer, let’s first define what LCM means. LCM is the smallest positive integer that is a multiple of two or more numbers. In the case of 14 and 24, we need to find the smallest number that is divisible by both 14 and 24.

To find the LCM of 14 and 24, we can use the prime factorization method. First, we need to factorize both numbers into their prime factors.

14 can be written as 2 x 7 24 can be written as 2 x 2 x 2 x 3

Next, we take the highest power of each prime factor that appears in either number. In this case, we have:

• 2 x 2 x 2 x 3 x 7

Therefore, the LCM of 14 and 24 is 168.

In conclusion, the LCM of 14 and 24 is 168, which is the smallest positive integer that is divisible by both numbers. We hope this article has helped you understand how to find the LCM of two numbers. If you have any doubts or questions, feel free to ask in the comments below.

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