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What is LCM of 6007, 6048 | 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:

6007 = 6007

6048 = 2, 2, 2, 2, 2, 3, 3, 3, 7

Identify the highest powers of all prime numbers that appear in the factorization: $2^5 × 3^3 × 7^1 × 6007^1$
To find LCM multiply these highest powers: LCM(6007, 6048) = $2^5 × 3^3 × 7^1 × 6007^1$ = 36330336

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Listing All Common Factors Method

To find the Least Common Multiple (LCM) of 6007 and 6048 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 6007

6007, 12014, 18021, 24028, 30035, 36042, 42049, 48056, 54063, 60070,…

Multiples of 6048

6048, 12096, 18144, 24192, 30240, 36288, 42336, 48384, 54432, 60480,…

Common multiples

Identify the common multiples from the lists above: 36330336, 72660672,…

The smallest common multiple is 36330336.

The LCM of 6007 and 6048 using the common multiples method is 36330336.

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Summary

What is the LCM of 6007 and 6048? The answer is 36330336. LCM using prime factorisation, common factor, video tutorial & instructions for each step.

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What is the LCM of 6007 and 6048?

Answer: The LCM of 6007 and 6048 is 36330336

Prime Factorization Method

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Listing All Common Factors Method

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Summary

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