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What is LCM of 5322, 463 | 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:

5322 = 2, 3, 887

463 = 463

Identify the highest powers of all prime numbers that appear in the factorization: $2^1 × 3^1 × 463^1 × 887^1$
To find LCM multiply these highest powers: LCM(5322, 463) = $2^1 × 3^1 × 463^1 × 887^1$ = 2464086

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Listing All Common Factors Method

To find the Least Common Multiple (LCM) of 5322 and 463 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 5322

5322, 10644, 15966, 21288, 26610, 31932, 37254, 42576, 47898, 53220,…

Multiples of 463

463, 926, 1389, 1852, 2315, 2778, 3241, 3704, 4167, 4630,…

Common multiples

Identify the common multiples from the lists above: 2464086, 4928172,…

The smallest common multiple is 2464086.

The LCM of 5322 and 463 using the common multiples method is 2464086.

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Summary

What is the LCM of 5322 and 463? The answer is 2464086. LCM using prime factorisation, common factor, video tutorial & instructions for each step.

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What is the LCM of 5322 and 463?

Answer: The LCM of 5322 and 463 is 2464086

Prime Factorization Method

Watch the Animated Step-by-Step Solution

Listing All Common Factors Method

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Time for More Practice

Summary

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