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What is LCM of 5075, 5116 | Prime factorisation, common factor

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:

5075 = 5, 5, 7, 29

5116 = 2, 2, 1279

Identify the highest powers of all prime numbers that appear in the factorization: $2^2 × 5^2 × 7^1 × 29^1 × 1279^1$
To find LCM multiply these highest powers: LCM(5075, 5116) = $2^2 × 5^2 × 7^1 × 29^1 × 1279^1$ = 25963700

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Listing All Common Factors Method

To find the Least Common Multiple (LCM) of 5075 and 5116 using the method of listing common multiples, follow these steps:

List some multiples of each number.
Identify the smallest multiple that is common to both lists.

Multiples of 5075

5075, 10150, 15225, 20300, 25375, 30450, 35525, 40600, 45675, 50750,…

Multiples of 5116

5116, 10232, 15348, 20464, 25580, 30696, 35812, 40928, 46044, 51160,…

Common multiples

Identify the common multiples from the lists above: 25963700, 51927400,…

The smallest common multiple is 25963700.

The LCM of 5075 and 5116 using the common multiples method is 25963700.

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Summary

What is the LCM of 5075 and 5116? The answer is 25963700. LCM using prime factorisation, common factor, video tutorial & instructions for each step.

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What is the LCM of 5075 and 5116?

Answer: The LCM of 5075 and 5116 is 25963700

Prime Factorization Method

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Listing All Common Factors Method

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Summary

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