Least Common Multiple of 6840 and 6842

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 6842 the smallest integer that is 23399640 that is divisible by both numbers.

Least Common Multiple (LCM) of 6840 and 6842 is 23399640.

LCM(6840,6842) = 23399640

LCM of 6840 and 6842

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

LCM of:
and

Least Common Multiple of 6840 and 6842

LCM of 6840 and 6842 is 23399640

Least common multiple can be found by multiplying the highest exponent prime factors of 6840 and 6842. First we will calculate the prime factors of 6840 and 6842.

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 6842


2 6842
11 3421
311 311
1

Prime factors of 6842 are 2, 11,311. Prime factorization of 6842 in exponential form is:

6842 = 21×111×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 6840 and 6842.

LCM(6840,6842) = 23×32×51×111×191×3111
LCM(6840,6842) = 23399640

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 6842

List of positive integer factors of 6842 that divides 6842 without a remainder.

1, 2, 11, 22, 311, 622, 3421, 6842

Least Common Multiple of 6840 and 6842 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 6842, than apply into the LCM equation.

GCF(6840,6842) = 2
LCM(6840,6842) = ( 6840 × 6842) / 2
LCM(6840,6842) = 46799280 / 2
LCM(6840,6842) = 23399640

Properties of LCM 6840 and 6842

(i) The LCM of 6842 and 6840 is associative

LCM of 6840 and 6842 = LCM of 6842 and 6840

Related Least Common Multiples of 6840

Related Least Common Multiples of 6842

Frequently Asked Questions on LCM of 6840 and 6842

1. What is the LCM of 6840 and 6842?

Answer: LCM of 6840 and 6842 is 23399640.

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 6842?

Answer: Factors of 6842 are 1, 2, 11, 22, 311, 622, 3421, 6842. There are 8 integers that are factors of 6842. The greatest factor of 6842 is 6842.

4. How to Find the LCM of 6840 and 6842?

Answer:

Least Common Multiple of 6840 and 6842 = 23399640

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 6842

6842 = 2 x 11 x 311

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

LCM = 23399640 = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 19 x 311

Step 4: Therefore, the least common multiple of 6840 and 6842 is 23399640.