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What is LCM of 3645, 3686 | 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:

3645 = 3, 3, 3, 3, 3, 3, 5

3686 = 2, 19, 97

Identify the highest powers of all prime numbers that appear in the factorization: $2^1 × 3^6 × 5^1 × 19^1 × 97^1$
To find LCM multiply these highest powers: LCM(3645, 3686) = $2^1 × 3^6 × 5^1 × 19^1 × 97^1$ = 13435470

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Listing All Common Factors Method

To find the Least Common Multiple (LCM) of 3645 and 3686 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 3645

3645, 7290, 10935, 14580, 18225, 21870, 25515, 29160, 32805, 36450,…

Multiples of 3686

3686, 7372, 11058, 14744, 18430, 22116, 25802, 29488, 33174, 36860,…

Common multiples

Identify the common multiples from the lists above: 13435470, 26870940,…

The smallest common multiple is 13435470.

The LCM of 3645 and 3686 using the common multiples method is 13435470.

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Summary

What is the LCM of 3645 and 3686? The answer is 13435470. LCM using prime factorisation, common factor, video tutorial & instructions for each step.

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What is the LCM of 3645 and 3686?

Answer: The LCM of 3645 and 3686 is 13435470

Prime Factorization Method

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Listing All Common Factors Method

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Summary

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