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What is LCM of 4174, 4215 | 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:

4174 = 2, 2087

4215 = 3, 5, 281

Identify the highest powers of all prime numbers that appear in the factorization: $2^1 × 3^1 × 5^1 × 281^1 × 2087^1$
To find LCM multiply these highest powers: LCM(4174, 4215) = $2^1 × 3^1 × 5^1 × 281^1 × 2087^1$ = 17593410

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Listing All Common Factors Method

To find the Least Common Multiple (LCM) of 4174 and 4215 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 4174

4174, 8348, 12522, 16696, 20870, 25044, 29218, 33392, 37566, 41740,…

Multiples of 4215

4215, 8430, 12645, 16860, 21075, 25290, 29505, 33720, 37935, 42150,…

Common multiples

Identify the common multiples from the lists above: 17593410, 35186820,…

The smallest common multiple is 17593410.

The LCM of 4174 and 4215 using the common multiples method is 17593410.

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Summary

What is the LCM of 4174 and 4215? The answer is 17593410. LCM using prime factorisation, common factor, video tutorial & instructions for each step.

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What is the LCM of 4174 and 4215?

Answer: The LCM of 4174 and 4215 is 17593410

Prime Factorization Method

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Listing All Common Factors Method

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Summary

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