Least Common Multiple of 6840 and 6841

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 6841 the smallest integer that is 46792440 that is divisible by both numbers.

Least Common Multiple (LCM) of 6840 and 6841 is 46792440.

LCM(6840,6841) = 46792440

LCM of 6840 and 6841

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

LCM of:
and

Least Common Multiple of 6840 and 6841

LCM of 6840 and 6841 is 46792440

Least common multiple can be found by multiplying the highest exponent prime factors of 6840 and 6841. First we will calculate the prime factors of 6840 and 6841.

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 6841


6841 6841
1

Prime factors of 6841 are 6841. Prime factorization of 6841 in exponential form is:

6841 = 68411

Now multiplying the highest exponent prime factors to calculate the LCM of 6840 and 6841.

LCM(6840,6841) = 23×32×51×191×68411
LCM(6840,6841) = 46792440

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 6841

List of positive integer factors of 6841 that divides 6841 without a remainder.

1, 6841

Least Common Multiple of 6840 and 6841 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 6841, than apply into the LCM equation.

GCF(6840,6841) = 1
LCM(6840,6841) = ( 6840 × 6841) / 1
LCM(6840,6841) = 46792440 / 1
LCM(6840,6841) = 46792440

Properties of LCM 6840 and 6841

(i) The LCM of 6841 and 6840 is associative

LCM of 6840 and 6841 = LCM of 6841 and 6840

Related Least Common Multiples of 6840

Related Least Common Multiples of 6841

Frequently Asked Questions on LCM of 6840 and 6841

1. What is the LCM of 6840 and 6841?

Answer: LCM of 6840 and 6841 is 46792440.

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 6841?

Answer: Factors of 6841 are 1, 6841. There are 2 integers that are factors of 6841. The greatest factor of 6841 is 6841.

4. How to Find the LCM of 6840 and 6841?

Answer:

Least Common Multiple of 6840 and 6841 = 46792440

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 6841

6841 = 6841

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

LCM = 46792440 = 2 x 2 x 2 x 3 x 3 x 5 x 19 x 6841

Step 4: Therefore, the least common multiple of 6840 and 6841 is 46792440.