Least Common Multiple of 6136 and 6137

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 6137 the smallest integer that is 37656632 that is divisible by both numbers.

Least Common Multiple (LCM) of 6136 and 6137 is 37656632.

LCM(6136,6137) = 37656632

LCM of 6136 and 6137

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

LCM of:
and

Least Common Multiple of 6136 and 6137

LCM of 6136 and 6137 is 37656632

Least common multiple can be found by multiplying the highest exponent prime factors of 6136 and 6137. First we will calculate the prime factors of 6136 and 6137.

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 6137


17 6137
19 361
19 19
1

Prime factors of 6137 are 17,19. Prime factorization of 6137 in exponential form is:

6137 = 171×192

Now multiplying the highest exponent prime factors to calculate the LCM of 6136 and 6137.

LCM(6136,6137) = 23×131×171×192×591
LCM(6136,6137) = 37656632

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 6137

List of positive integer factors of 6137 that divides 6137 without a remainder.

1, 17, 19, 323, 361, 6137

Least Common Multiple of 6136 and 6137 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 6137, than apply into the LCM equation.

GCF(6136,6137) = 1
LCM(6136,6137) = ( 6136 × 6137) / 1
LCM(6136,6137) = 37656632 / 1
LCM(6136,6137) = 37656632

Properties of LCM 6136 and 6137

(i) The LCM of 6137 and 6136 is associative

LCM of 6136 and 6137 = LCM of 6137 and 6136

Related Least Common Multiples of 6136

Related Least Common Multiples of 6137

Frequently Asked Questions on LCM of 6136 and 6137

1. What is the LCM of 6136 and 6137?

Answer: LCM of 6136 and 6137 is 37656632.

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 6137?

Answer: Factors of 6137 are 1, 17, 19, 323, 361, 6137. There are 6 integers that are factors of 6137. The greatest factor of 6137 is 6137.

4. How to Find the LCM of 6136 and 6137?

Answer:

Least Common Multiple of 6136 and 6137 = 37656632

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 6137

6137 = 17 x 19 x 19

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

LCM = 37656632 = 2 x 2 x 2 x 13 x 17 x 19 x 19 x 59

Step 4: Therefore, the least common multiple of 6136 and 6137 is 37656632.