Least Common Multiple of 6140 and 6143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6140 and 6143 the smallest integer that is 37718020 that is divisible by both numbers.

Least Common Multiple (LCM) of 6140 and 6143 is 37718020.

LCM(6140,6143) = 37718020

LCM of 6140 and 6143

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

LCM of:
and

Least Common Multiple of 6140 and 6143

LCM of 6140 and 6143 is 37718020

Least common multiple can be found by multiplying the highest exponent prime factors of 6140 and 6143. First we will calculate the prime factors of 6140 and 6143.

Prime Factorization of 6140


2 6140
2 3070
5 1535
307 307
1

Prime factors of 6140 are 2, 5,307. Prime factorization of 6140 in exponential form is:

6140 = 22×51×3071

Prime Factorization of 6143


6143 6143
1

Prime factors of 6143 are 6143. Prime factorization of 6143 in exponential form is:

6143 = 61431

Now multiplying the highest exponent prime factors to calculate the LCM of 6140 and 6143.

LCM(6140,6143) = 22×51×3071×61431
LCM(6140,6143) = 37718020

Factors of 6140

List of positive integer factors of 6140 that divides 6140 without a remainder.

1, 2, 4, 5, 10, 20, 307, 614, 1228, 1535, 3070, 6140

Factors of 6143

List of positive integer factors of 6143 that divides 6143 without a remainder.

1, 6143

Least Common Multiple of 6140 and 6143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6140 and 6143, than apply into the LCM equation.

GCF(6140,6143) = 1
LCM(6140,6143) = ( 6140 × 6143) / 1
LCM(6140,6143) = 37718020 / 1
LCM(6140,6143) = 37718020

Properties of LCM 6140 and 6143

(i) The LCM of 6143 and 6140 is associative

LCM of 6140 and 6143 = LCM of 6143 and 6140

Related Least Common Multiples of 6140

Related Least Common Multiples of 6143

Frequently Asked Questions on LCM of 6140 and 6143

1. What is the LCM of 6140 and 6143?

Answer: LCM of 6140 and 6143 is 37718020.

2. What are the Factors of 6140?

Answer: Factors of 6140 are 1, 2, 4, 5, 10, 20, 307, 614, 1228, 1535, 3070, 6140. There are 12 integers that are factors of 6140. The greatest factor of 6140 is 6140.

3. What are the Factors of 6143?

Answer: Factors of 6143 are 1, 6143. There are 2 integers that are factors of 6143. The greatest factor of 6143 is 6143.

4. How to Find the LCM of 6140 and 6143?

Answer:

Least Common Multiple of 6140 and 6143 = 37718020

Step 1: Find the prime factorization of 6140

6140 = 2 x 2 x 5 x 307

Step 2: Find the prime factorization of 6143

6143 = 6143

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

LCM = 37718020 = 2 x 2 x 5 x 307 x 6143

Step 4: Therefore, the least common multiple of 6140 and 6143 is 37718020.