Least Common Multiple of 6837 and 6843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6837 and 6843 the smallest integer that is 15595197 that is divisible by both numbers.

Least Common Multiple (LCM) of 6837 and 6843 is 15595197.

LCM(6837,6843) = 15595197

LCM of 6837 and 6843

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

LCM of:
and

Least Common Multiple of 6837 and 6843

LCM of 6837 and 6843 is 15595197

Least common multiple can be found by multiplying the highest exponent prime factors of 6837 and 6843. First we will calculate the prime factors of 6837 and 6843.

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

Prime Factorization of 6843


3 6843
2281 2281
1

Prime factors of 6843 are 3,2281. Prime factorization of 6843 in exponential form is:

6843 = 31×22811

Now multiplying the highest exponent prime factors to calculate the LCM of 6837 and 6843.

LCM(6837,6843) = 31×431×531×22811
LCM(6837,6843) = 15595197

Factors of 6837

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

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

Factors of 6843

List of positive integer factors of 6843 that divides 6843 without a remainder.

1, 3, 2281, 6843

Least Common Multiple of 6837 and 6843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6837 and 6843, than apply into the LCM equation.

GCF(6837,6843) = 3
LCM(6837,6843) = ( 6837 × 6843) / 3
LCM(6837,6843) = 46785591 / 3
LCM(6837,6843) = 15595197

Properties of LCM 6837 and 6843

(i) The LCM of 6843 and 6837 is associative

LCM of 6837 and 6843 = LCM of 6843 and 6837

Related Least Common Multiples of 6837

Related Least Common Multiples of 6843

Frequently Asked Questions on LCM of 6837 and 6843

1. What is the LCM of 6837 and 6843?

Answer: LCM of 6837 and 6843 is 15595197.

2. 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.

3. What are the Factors of 6843?

Answer: Factors of 6843 are 1, 3, 2281, 6843. There are 4 integers that are factors of 6843. The greatest factor of 6843 is 6843.

4. How to Find the LCM of 6837 and 6843?

Answer:

Least Common Multiple of 6837 and 6843 = 15595197

Step 1: Find the prime factorization of 6837

6837 = 3 x 43 x 53

Step 2: Find the prime factorization of 6843

6843 = 3 x 2281

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

LCM = 15595197 = 3 x 43 x 53 x 2281

Step 4: Therefore, the least common multiple of 6837 and 6843 is 15595197.