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What is LCM of 391, 4532 | 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:

391 = 17, 23

4532 = 2, 2, 11, 103

Identify the highest powers of all prime numbers that appear in the factorization: $2^2 × 11^1 × 17^1 × 23^1 × 103^1$
To find LCM multiply these highest powers: LCM(391, 4532) = $2^2 × 11^1 × 17^1 × 23^1 × 103^1$ = 1772012

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Listing All Common Factors Method

To find the Least Common Multiple (LCM) of 391 and 4532 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 391

391, 782, 1173, 1564, 1955, 2346, 2737, 3128, 3519, 3910,…

Multiples of 4532

4532, 9064, 13596, 18128, 22660, 27192, 31724, 36256, 40788, 45320,…

Common multiples

Identify the common multiples from the lists above: 1772012, 3544024,…

The smallest common multiple is 1772012.

The LCM of 391 and 4532 using the common multiples method is 1772012.

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Summary

What is the LCM of 391 and 4532? The answer is 1772012. LCM using prime factorisation, common factor, video tutorial & instructions for each step.

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What is the LCM of 391 and 4532?

Answer: The LCM of 391 and 4532 is 1772012

Prime Factorization Method

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Listing All Common Factors Method

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Time for More Practice

Summary

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