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What is LCM of 2454, 2495 | 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:

2454 = 2, 3, 409

2495 = 5, 499

Identify the highest powers of all prime numbers that appear in the factorization: $2^1 × 3^1 × 5^1 × 409^1 × 499^1$
To find LCM multiply these highest powers: LCM(2454, 2495) = $2^1 × 3^1 × 5^1 × 409^1 × 499^1$ = 6122730

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Listing All Common Factors Method

To find the Least Common Multiple (LCM) of 2454 and 2495 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 2454

2454, 4908, 7362, 9816, 12270, 14724, 17178, 19632, 22086, 24540,…

Multiples of 2495

2495, 4990, 7485, 9980, 12475, 14970, 17465, 19960, 22455, 24950,…

Common multiples

Identify the common multiples from the lists above: 6122730, 12245460,…

The smallest common multiple is 6122730.

The LCM of 2454 and 2495 using the common multiples method is 6122730.

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Summary

What is the LCM of 2454 and 2495? The answer is 6122730. LCM using prime factorisation, common factor, video tutorial & instructions for each step.

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What is the LCM of 2454 and 2495?

Answer: The LCM of 2454 and 2495 is 6122730

Prime Factorization Method

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Listing All Common Factors Method

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Summary

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