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What is LCM of 3475, 3516 | 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:

3475 = 5, 5, 139

3516 = 2, 2, 3, 293

Identify the highest powers of all prime numbers that appear in the factorization: $2^2 × 3^1 × 5^2 × 139^1 × 293^1$
To find LCM multiply these highest powers: LCM(3475, 3516) = $2^2 × 3^1 × 5^2 × 139^1 × 293^1$ = 12218100

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Listing All Common Factors Method

To find the Least Common Multiple (LCM) of 3475 and 3516 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 3475

3475, 6950, 10425, 13900, 17375, 20850, 24325, 27800, 31275, 34750,…

Multiples of 3516

3516, 7032, 10548, 14064, 17580, 21096, 24612, 28128, 31644, 35160,…

Common multiples

Identify the common multiples from the lists above: 12218100, 24436200,…

The smallest common multiple is 12218100.

The LCM of 3475 and 3516 using the common multiples method is 12218100.

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Summary

What is the LCM of 3475 and 3516? The answer is 12218100. LCM using prime factorisation, common factor, video tutorial & instructions for each step.

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What is the LCM of 3475 and 3516?

Answer: The LCM of 3475 and 3516 is 12218100

Prime Factorization Method

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Listing All Common Factors Method

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Summary

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