Least Common Multiple of 6136 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 6136 and 6141 the smallest integer that is 37681176 that is divisible by both numbers.

Least Common Multiple (LCM) of 6136 and 6141 is 37681176.

LCM(6136,6141) = 37681176

LCM of 6136 and 6141

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

LCM of:
and

Least Common Multiple of 6136 and 6141

LCM of 6136 and 6141 is 37681176

Least common multiple can be found by multiplying the highest exponent prime factors of 6136 and 6141. First we will calculate the prime factors of 6136 and 6141.

Prime Factorization of 6136


2 6136
2 3068
2 1534
13 767
59 59
1

Prime factors of 6136 are 2, 13,59. Prime factorization of 6136 in exponential form is:

6136 = 23×131×591

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 6136 and 6141.

LCM(6136,6141) = 23×31×131×231×591×891
LCM(6136,6141) = 37681176

Factors of 6136

List of positive integer factors of 6136 that divides 6136 without a remainder.

1, 2, 4, 8, 13, 26, 52, 59, 104, 118, 236, 472, 767, 1534, 3068, 6136

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 6136 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 6136 and 6141, than apply into the LCM equation.

GCF(6136,6141) = 1
LCM(6136,6141) = ( 6136 × 6141) / 1
LCM(6136,6141) = 37681176 / 1
LCM(6136,6141) = 37681176

Properties of LCM 6136 and 6141

(i) The LCM of 6141 and 6136 is associative

LCM of 6136 and 6141 = LCM of 6141 and 6136

Related Least Common Multiples of 6136

Related Least Common Multiples of 6141

Frequently Asked Questions on LCM of 6136 and 6141

1. What is the LCM of 6136 and 6141?

Answer: LCM of 6136 and 6141 is 37681176.

2. What are the Factors of 6136?

Answer: Factors of 6136 are 1, 2, 4, 8, 13, 26, 52, 59, 104, 118, 236, 472, 767, 1534, 3068, 6136. There are 16 integers that are factors of 6136. The greatest factor of 6136 is 6136.

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 6136 and 6141?

Answer:

Least Common Multiple of 6136 and 6141 = 37681176

Step 1: Find the prime factorization of 6136

6136 = 2 x 2 x 2 x 13 x 59

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 = 37681176 = 2 x 2 x 2 x 3 x 13 x 23 x 59 x 89

Step 4: Therefore, the least common multiple of 6136 and 6141 is 37681176.