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What is LCM of 76, 8627 | 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:

76 = 2, 2, 19

8627 = 8627

Identify the highest powers of all prime numbers that appear in the factorization: $2^2 × 19^1 × 8627^1$
To find LCM multiply these highest powers: LCM(76, 8627) = $2^2 × 19^1 × 8627^1$ = 655652

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Listing All Common Factors Method

To find the Least Common Multiple (LCM) of 76 and 8627 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 76

76, 152, 228, 304, 380, 456, 532, 608, 684, 760,…

Multiples of 8627

8627, 17254, 25881, 34508, 43135, 51762, 60389, 69016, 77643, 86270,…

Common multiples

Identify the common multiples from the lists above: 655652, 1311304,…

The smallest common multiple is 655652.

The LCM of 76 and 8627 using the common multiples method is 655652.

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Summary

What is the LCM of 76 and 8627? The answer is 655652. LCM using prime factorisation, common factor, video tutorial & instructions for each step.

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What is the LCM of 76 and 8627?

Answer: The LCM of 76 and 8627 is 655652

Prime Factorization Method

Watch the Animated Step-by-Step Solution

Listing All Common Factors Method

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Summary

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