Least Common Multiple of 6840 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 6840 and 6844 the smallest integer that is 11703240 that is divisible by both numbers.

Least Common Multiple (LCM) of 6840 and 6844 is 11703240.

LCM(6840,6844) = 11703240

LCM of 6840 and 6844

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

LCM of:
and

Least Common Multiple of 6840 and 6844

LCM of 6840 and 6844 is 11703240

Least common multiple can be found by multiplying the highest exponent prime factors of 6840 and 6844. First we will calculate the prime factors of 6840 and 6844.

Prime Factorization of 6840


2 6840
2 3420
2 1710
3 855
3 285
5 95
19 19
1

Prime factors of 6840 are 2, 3, 5,19. Prime factorization of 6840 in exponential form is:

6840 = 23×32×51×191

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 6840 and 6844.

LCM(6840,6844) = 23×32×51×191×291×591
LCM(6840,6844) = 11703240

Factors of 6840

List of positive integer factors of 6840 that divides 6840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 19, 20, 24, 30, 36, 38, 40, 45, 57, 60, 72, 76, 90, 95, 114, 120, 152, 171, 180, 190, 228, 285, 342, 360, 380, 456, 570, 684, 760, 855, 1140, 1368, 1710, 2280, 3420, 6840

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 6840 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 6840 and 6844, than apply into the LCM equation.

GCF(6840,6844) = 4
LCM(6840,6844) = ( 6840 × 6844) / 4
LCM(6840,6844) = 46812960 / 4
LCM(6840,6844) = 11703240

Properties of LCM 6840 and 6844

(i) The LCM of 6844 and 6840 is associative

LCM of 6840 and 6844 = LCM of 6844 and 6840

Related Least Common Multiples of 6840

Related Least Common Multiples of 6844

Frequently Asked Questions on LCM of 6840 and 6844

1. What is the LCM of 6840 and 6844?

Answer: LCM of 6840 and 6844 is 11703240.

2. What are the Factors of 6840?

Answer: Factors of 6840 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 19, 20, 24, 30, 36, 38, 40, 45, 57, 60, 72, 76, 90, 95, 114, 120, 152, 171, 180, 190, 228, 285, 342, 360, 380, 456, 570, 684, 760, 855, 1140, 1368, 1710, 2280, 3420, 6840. There are 48 integers that are factors of 6840. The greatest factor of 6840 is 6840.

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 6840 and 6844?

Answer:

Least Common Multiple of 6840 and 6844 = 11703240

Step 1: Find the prime factorization of 6840

6840 = 2 x 2 x 2 x 3 x 3 x 5 x 19

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 = 11703240 = 2 x 2 x 2 x 3 x 3 x 5 x 19 x 29 x 59

Step 4: Therefore, the least common multiple of 6840 and 6844 is 11703240.