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What is LCM of 8314, 255 | 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:

8314 = 2, 4157

255 = 3, 5, 17

Identify the highest powers of all prime numbers that appear in the factorization: $2^1 × 3^1 × 5^1 × 17^1 × 4157^1$
To find LCM multiply these highest powers: LCM(8314, 255) = $2^1 × 3^1 × 5^1 × 17^1 × 4157^1$ = 2120070

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Listing All Common Factors Method

To find the Least Common Multiple (LCM) of 8314 and 255 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 8314

8314, 16628, 24942, 33256, 41570, 49884, 58198, 66512, 74826, 83140,…

Multiples of 255

255, 510, 765, 1020, 1275, 1530, 1785, 2040, 2295, 2550,…

Common multiples

Identify the common multiples from the lists above: 2120070, 4240140,…

The smallest common multiple is 2120070.

The LCM of 8314 and 255 using the common multiples method is 2120070.

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Summary

What is the LCM of 8314 and 255? The answer is 2120070. LCM using prime factorisation, common factor, video tutorial & instructions for each step.

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What is the LCM of 8314 and 255?

Answer: The LCM of 8314 and 255 is 2120070

Prime Factorization Method

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Listing All Common Factors Method

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Summary

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