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What is the LCM of 2572 and 113?

Answer: The LCM of 2572 and 113 is 290636

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Prime Factorization Method

There are multiple ways to find the least common multiple of given integers. In this method, we find the prime factors of each number, and then take the highest power of each prime that appears in the factorization of either number for find LCM.

  • Find the prime factorization of each number:

2572 = 2, 2, 643

113 = 113

  • Identify the highest powers of all prime numbers that appear in the factorization: 22×1131×64312^2 × 113^1 × 643^1
  • To find LCM multiply these highest powers: LCM(2572, 113) = 22×1131×64312^2 × 113^1 × 643^1 = 290636

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Listing All Common Factors Method

To find the Least Common Multiple (LCM) of 2572 and 113 using the method of listing common multiples, follow these steps:

  1. List some multiples of each number.
  2. Identify the smallest multiple that is common to both lists.
  • Multiples of 2572

2572, 5144, 7716, 10288, 12860, 15432, 18004, 20576, 23148, 25720,…

  • Multiples of 113

113, 226, 339, 452, 565, 678, 791, 904, 1017, 1130,…

  • Common multiples

Identify the common multiples from the lists above: 290636, 581272,…

The smallest common multiple is 290636.

The LCM of 2572 and 113 using the common multiples method is 290636.

Summary

What is the LCM of 2572 and 113? The answer is 290636. LCM using prime factorisation, common factor, video tutorial & instructions for each step.

This page provided a complete animated walkthrough for what is the lcm of 2572 and 113?. Every step was visualized so you can understand not just the answer, but the method behind it. Use the animation above to replay and study each step at your own pace.

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