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What is LCM of 74, 8225 | 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:

74 = 2, 37

8225 = 5, 5, 7, 47

Identify the highest powers of all prime numbers that appear in the factorization: $2^1 × 5^2 × 7^1 × 37^1 × 47^1$
To find LCM multiply these highest powers: LCM(74, 8225) = $2^1 × 5^2 × 7^1 × 37^1 × 47^1$ = 608650

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Listing All Common Factors Method

To find the Least Common Multiple (LCM) of 74 and 8225 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 74

74, 148, 222, 296, 370, 444, 518, 592, 666, 740,…

Multiples of 8225

8225, 16450, 24675, 32900, 41125, 49350, 57575, 65800, 74025, 82250,…

Common multiples

Identify the common multiples from the lists above: 608650, 1217300,…

The smallest common multiple is 608650.

The LCM of 74 and 8225 using the common multiples method is 608650.

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Summary

What is the LCM of 74 and 8225? The answer is 608650. LCM using prime factorisation, common factor, video tutorial & instructions for each step.

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What is the LCM of 74 and 8225?

Answer: The LCM of 74 and 8225 is 608650

Prime Factorization Method

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Listing All Common Factors Method

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Summary

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