Least Common Multiple of 6836 and 6844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6836 and 6844 the smallest integer that is 11696396 that is divisible by both numbers.

Least Common Multiple (LCM) of 6836 and 6844 is 11696396.

LCM(6836,6844) = 11696396

LCM of 6836 and 6844

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

LCM of:
and

Least Common Multiple of 6836 and 6844

LCM of 6836 and 6844 is 11696396

Least common multiple can be found by multiplying the highest exponent prime factors of 6836 and 6844. First we will calculate the prime factors of 6836 and 6844.

Prime Factorization of 6836


2 6836
2 3418
1709 1709
1

Prime factors of 6836 are 2,1709. Prime factorization of 6836 in exponential form is:

6836 = 22×17091

Prime Factorization of 6844


2 6844
2 3422
29 1711
59 59
1

Prime factors of 6844 are 2, 29,59. Prime factorization of 6844 in exponential form is:

6844 = 22×291×591

Now multiplying the highest exponent prime factors to calculate the LCM of 6836 and 6844.

LCM(6836,6844) = 22×291×591×17091
LCM(6836,6844) = 11696396

Factors of 6836

List of positive integer factors of 6836 that divides 6836 without a remainder.

1, 2, 4, 1709, 3418, 6836

Factors of 6844

List of positive integer factors of 6844 that divides 6844 without a remainder.

1, 2, 4, 29, 58, 59, 116, 118, 236, 1711, 3422, 6844

Least Common Multiple of 6836 and 6844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6836 and 6844, than apply into the LCM equation.

GCF(6836,6844) = 4
LCM(6836,6844) = ( 6836 × 6844) / 4
LCM(6836,6844) = 46785584 / 4
LCM(6836,6844) = 11696396

Properties of LCM 6836 and 6844

(i) The LCM of 6844 and 6836 is associative

LCM of 6836 and 6844 = LCM of 6844 and 6836

Related Least Common Multiples of 6836

Related Least Common Multiples of 6844

Frequently Asked Questions on LCM of 6836 and 6844

1. What is the LCM of 6836 and 6844?

Answer: LCM of 6836 and 6844 is 11696396.

2. What are the Factors of 6836?

Answer: Factors of 6836 are 1, 2, 4, 1709, 3418, 6836. There are 6 integers that are factors of 6836. The greatest factor of 6836 is 6836.

3. What are the Factors of 6844?

Answer: Factors of 6844 are 1, 2, 4, 29, 58, 59, 116, 118, 236, 1711, 3422, 6844. There are 12 integers that are factors of 6844. The greatest factor of 6844 is 6844.

4. How to Find the LCM of 6836 and 6844?

Answer:

Least Common Multiple of 6836 and 6844 = 11696396

Step 1: Find the prime factorization of 6836

6836 = 2 x 2 x 1709

Step 2: Find the prime factorization of 6844

6844 = 2 x 2 x 29 x 59

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

LCM = 11696396 = 2 x 2 x 29 x 59 x 1709

Step 4: Therefore, the least common multiple of 6836 and 6844 is 11696396.