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What is LCM of 126, 6667 | 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:

126 = 2, 3, 3, 7

6667 = 59, 113

Identify the highest powers of all prime numbers that appear in the factorization: $2^1 × 3^2 × 7^1 × 59^1 × 113^1$
To find LCM multiply these highest powers: LCM(126, 6667) = $2^1 × 3^2 × 7^1 × 59^1 × 113^1$ = 840042

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Listing All Common Factors Method

To find the Least Common Multiple (LCM) of 126 and 6667 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 126

126, 252, 378, 504, 630, 756, 882, 1008, 1134, 1260,…

Multiples of 6667

6667, 13334, 20001, 26668, 33335, 40002, 46669, 53336, 60003, 66670,…

Common multiples

Identify the common multiples from the lists above: 840042, 1680084,…

The smallest common multiple is 840042.

The LCM of 126 and 6667 using the common multiples method is 840042.

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Summary

What is the LCM of 126 and 6667? The answer is 840042. LCM using prime factorisation, common factor, video tutorial & instructions for each step.

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What is the LCM of 126 and 6667?

Answer: The LCM of 126 and 6667 is 840042

Prime Factorization Method

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Listing All Common Factors Method

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Summary

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