Least Common Multiple of 6140 and 6141

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 6141 the smallest integer that is 37705740 that is divisible by both numbers.

Least Common Multiple (LCM) of 6140 and 6141 is 37705740.

LCM(6140,6141) = 37705740

LCM of 6140 and 6141

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

LCM of:
and

Least Common Multiple of 6140 and 6141

LCM of 6140 and 6141 is 37705740

Least common multiple can be found by multiplying the highest exponent prime factors of 6140 and 6141. First we will calculate the prime factors of 6140 and 6141.

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 6141


3 6141
23 2047
89 89
1

Prime factors of 6141 are 3, 23,89. Prime factorization of 6141 in exponential form is:

6141 = 31×231×891

Now multiplying the highest exponent prime factors to calculate the LCM of 6140 and 6141.

LCM(6140,6141) = 22×31×51×231×891×3071
LCM(6140,6141) = 37705740

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 6141

List of positive integer factors of 6141 that divides 6141 without a remainder.

1, 3, 23, 69, 89, 267, 2047, 6141

Least Common Multiple of 6140 and 6141 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 6141, than apply into the LCM equation.

GCF(6140,6141) = 1
LCM(6140,6141) = ( 6140 × 6141) / 1
LCM(6140,6141) = 37705740 / 1
LCM(6140,6141) = 37705740

Properties of LCM 6140 and 6141

(i) The LCM of 6141 and 6140 is associative

LCM of 6140 and 6141 = LCM of 6141 and 6140

Related Least Common Multiples of 6140

Related Least Common Multiples of 6141

Frequently Asked Questions on LCM of 6140 and 6141

1. What is the LCM of 6140 and 6141?

Answer: LCM of 6140 and 6141 is 37705740.

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 6141?

Answer: Factors of 6141 are 1, 3, 23, 69, 89, 267, 2047, 6141. There are 8 integers that are factors of 6141. The greatest factor of 6141 is 6141.

4. How to Find the LCM of 6140 and 6141?

Answer:

Least Common Multiple of 6140 and 6141 = 37705740

Step 1: Find the prime factorization of 6140

6140 = 2 x 2 x 5 x 307

Step 2: Find the prime factorization of 6141

6141 = 3 x 23 x 89

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

LCM = 37705740 = 2 x 2 x 3 x 5 x 23 x 89 x 307

Step 4: Therefore, the least common multiple of 6140 and 6141 is 37705740.