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What is LCM of 1945, 1986 | 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:

1945 = 5, 389

1986 = 2, 3, 331

Identify the highest powers of all prime numbers that appear in the factorization: $2^1 × 3^1 × 5^1 × 331^1 × 389^1$
To find LCM multiply these highest powers: LCM(1945, 1986) = $2^1 × 3^1 × 5^1 × 331^1 × 389^1$ = 3862770

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Listing All Common Factors Method

To find the Least Common Multiple (LCM) of 1945 and 1986 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 1945

1945, 3890, 5835, 7780, 9725, 11670, 13615, 15560, 17505, 19450,…

Multiples of 1986

1986, 3972, 5958, 7944, 9930, 11916, 13902, 15888, 17874, 19860,…

Common multiples

Identify the common multiples from the lists above: 3862770, 7725540,…

The smallest common multiple is 3862770.

The LCM of 1945 and 1986 using the common multiples method is 3862770.

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Summary

What is the LCM of 1945 and 1986? The answer is 3862770. LCM using prime factorisation, common factor, video tutorial & instructions for each step.

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What is the LCM of 1945 and 1986?

Answer: The LCM of 1945 and 1986 is 3862770

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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