Least Common Multiple of 6831 and 6837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6831 and 6837 the smallest integer that is 15567849 that is divisible by both numbers.

Least Common Multiple (LCM) of 6831 and 6837 is 15567849.

LCM(6831,6837) = 15567849

LCM of 6831 and 6837

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 6831 and 6837

LCM of 6831 and 6837 is 15567849

Least common multiple can be found by multiplying the highest exponent prime factors of 6831 and 6837. First we will calculate the prime factors of 6831 and 6837.

Prime Factorization of 6831


3 6831
3 2277
3 759
11 253
23 23
1

Prime factors of 6831 are 3, 11,23. Prime factorization of 6831 in exponential form is:

6831 = 33×111×231

Prime Factorization of 6837


3 6837
43 2279
53 53
1

Prime factors of 6837 are 3, 43,53. Prime factorization of 6837 in exponential form is:

6837 = 31×431×531

Now multiplying the highest exponent prime factors to calculate the LCM of 6831 and 6837.

LCM(6831,6837) = 33×111×231×431×531
LCM(6831,6837) = 15567849

Factors of 6831

List of positive integer factors of 6831 that divides 6831 without a remainder.

1, 3, 9, 11, 23, 27, 33, 69, 99, 207, 253, 297, 621, 759, 2277, 6831

Factors of 6837

List of positive integer factors of 6837 that divides 6837 without a remainder.

1, 3, 43, 53, 129, 159, 2279, 6837

Least Common Multiple of 6831 and 6837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6831 and 6837, than apply into the LCM equation.

GCF(6831,6837) = 3
LCM(6831,6837) = ( 6831 × 6837) / 3
LCM(6831,6837) = 46703547 / 3
LCM(6831,6837) = 15567849

Properties of LCM 6831 and 6837

(i) The LCM of 6837 and 6831 is associative

LCM of 6831 and 6837 = LCM of 6837 and 6831

Related Least Common Multiples of 6831

Related Least Common Multiples of 6837

Frequently Asked Questions on LCM of 6831 and 6837

1. What is the LCM of 6831 and 6837?

Answer: LCM of 6831 and 6837 is 15567849.

2. What are the Factors of 6831?

Answer: Factors of 6831 are 1, 3, 9, 11, 23, 27, 33, 69, 99, 207, 253, 297, 621, 759, 2277, 6831. There are 16 integers that are factors of 6831. The greatest factor of 6831 is 6831.

3. What are the Factors of 6837?

Answer: Factors of 6837 are 1, 3, 43, 53, 129, 159, 2279, 6837. There are 8 integers that are factors of 6837. The greatest factor of 6837 is 6837.

4. How to Find the LCM of 6831 and 6837?

Answer:

Least Common Multiple of 6831 and 6837 = 15567849

Step 1: Find the prime factorization of 6831

6831 = 3 x 3 x 3 x 11 x 23

Step 2: Find the prime factorization of 6837

6837 = 3 x 43 x 53

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 15567849 = 3 x 3 x 3 x 11 x 23 x 43 x 53

Step 4: Therefore, the least common multiple of 6831 and 6837 is 15567849.