LCM of 90 and 105

Are you curious about the LCM of 90 and 105? Look no further! In this article, we will explore the concept of LCM and guide you through the process of calculating the LCM of these two numbers. LCM, or Least Common Multiple, is a fundamental mathematical concept that finds its application in various areas of mathematics, such as fractions, algebra, and more.

The LCM of 90 and 105 is 630. Let’s dive into the steps involved in finding this answer.

To calculate the LCM of 90 and 105, we can use different methods like the prime factorization method or the listing multiples method. Let’s employ the prime factorization method for this case.

First, let’s factorize 90 and 105:

  • Prime factorization of 90: 2 x 3 x 3 x 5
  • Prime factorization of 105: 3 x 5 x 7

Next, we consider the highest powers of each prime factor that appear in either number:

  • 2 x 3 x 3 x 5 x 7

Hence, the LCM of 90 and 105 is 630.

In conclusion, the LCM of 90 and 105 is 630, which represents the smallest positive integer divisible by both 90 and 105. Understanding how to find the LCM is essential for various mathematical operations. We hope this article has helped you grasp the concept and calculation of LCM. If you have any further questions or need clarification, feel free to leave a comment below.

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