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What is the LCM of 3988 and 4029?

Answer: The LCM of 3988 and 4029 is 16067652

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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:

3988 = 2, 2, 997

4029 = 3, 17, 79

  • Identify the highest powers of all prime numbers that appear in the factorization: 22×31×171×791×99712^2 × 3^1 × 17^1 × 79^1 × 997^1
  • To find LCM multiply these highest powers: LCM(3988, 4029) = 22×31×171×791×99712^2 × 3^1 × 17^1 × 79^1 × 997^1 = 16067652

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Listing All Common Factors Method

To find the Least Common Multiple (LCM) of 3988 and 4029 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 3988

3988, 7976, 11964, 15952, 19940, 23928, 27916, 31904, 35892, 39880,…

  • Multiples of 4029

4029, 8058, 12087, 16116, 20145, 24174, 28203, 32232, 36261, 40290,…

  • Common multiples

Identify the common multiples from the lists above: 16067652, 32135304,…

The smallest common multiple is 16067652.

The LCM of 3988 and 4029 using the common multiples method is 16067652.

Summary

What is the LCM of 3988 and 4029? The answer is 16067652. 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 3988 and 4029?. 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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