LCM of 40 and 70

Are you wondering about the LCM of 40 and 70? Look no further, as we delve into the concept of LCM and calculate the LCM of these two numbers for you. The LCM, or Least Common Multiple, plays a crucial role in various mathematical operations, and knowing how to find it can be highly beneficial.

The LCM of 40 and 70 is 280. Now, let’s uncover the process of calculating the LCM step by step.

To determine the LCM of 40 and 70, we can employ different methods. One efficient approach is the prime factorization method. By breaking down the given numbers into their prime factors, we can identify the LCM.

First, let’s factorize 40 and 70:

  • Prime factorization of 40: 2 x 2 x 2 x 5
  • Prime factorization of 70: 2 x 5 x 7

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

  • 2 x 2 x 2 x 5 x 7

Hence, the LCM of 40 and 70 is 280.

In summary, the LCM of 40 and 70 is 280, representing the smallest positive integer divisible by both 40 and 70. Mastering the concept of LCM equips you with a valuable tool in various mathematical situations. If you have any questions or need further clarification, don’t hesitate to leave a comment below.

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