Least Common Multiple of 6836 and 6840

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 6840 the smallest integer that is 11689560 that is divisible by both numbers.

Least Common Multiple (LCM) of 6836 and 6840 is 11689560.

LCM(6836,6840) = 11689560

LCM of 6836 and 6840

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

LCM of:
and

Least Common Multiple of 6836 and 6840

LCM of 6836 and 6840 is 11689560

Least common multiple can be found by multiplying the highest exponent prime factors of 6836 and 6840. First we will calculate the prime factors of 6836 and 6840.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 6836 and 6840.

LCM(6836,6840) = 23×32×51×191×17091
LCM(6836,6840) = 11689560

Factors of 6836

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

1, 2, 4, 1709, 3418, 6836

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

Least Common Multiple of 6836 and 6840 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 6840, than apply into the LCM equation.

GCF(6836,6840) = 4
LCM(6836,6840) = ( 6836 × 6840) / 4
LCM(6836,6840) = 46758240 / 4
LCM(6836,6840) = 11689560

Properties of LCM 6836 and 6840

(i) The LCM of 6840 and 6836 is associative

LCM of 6836 and 6840 = LCM of 6840 and 6836

Related Least Common Multiples of 6836

Related Least Common Multiples of 6840

Frequently Asked Questions on LCM of 6836 and 6840

1. What is the LCM of 6836 and 6840?

Answer: LCM of 6836 and 6840 is 11689560.

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 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.

4. How to Find the LCM of 6836 and 6840?

Answer:

Least Common Multiple of 6836 and 6840 = 11689560

Step 1: Find the prime factorization of 6836

6836 = 2 x 2 x 1709

Step 2: Find the prime factorization of 6840

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

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

LCM = 11689560 = 2 x 2 x 2 x 3 x 3 x 5 x 19 x 1709

Step 4: Therefore, the least common multiple of 6836 and 6840 is 11689560.