Least Common Multiple of 6136 and 6138

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 6138 the smallest integer that is 18831384 that is divisible by both numbers.

Least Common Multiple (LCM) of 6136 and 6138 is 18831384.

LCM(6136,6138) = 18831384

LCM of 6136 and 6138

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

LCM of:
and

Least Common Multiple of 6136 and 6138

LCM of 6136 and 6138 is 18831384

Least common multiple can be found by multiplying the highest exponent prime factors of 6136 and 6138. First we will calculate the prime factors of 6136 and 6138.

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 6138


2 6138
3 3069
3 1023
11 341
31 31
1

Prime factors of 6138 are 2, 3, 11,31. Prime factorization of 6138 in exponential form is:

6138 = 21×32×111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 6136 and 6138.

LCM(6136,6138) = 23×32×111×131×311×591
LCM(6136,6138) = 18831384

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 6138

List of positive integer factors of 6138 that divides 6138 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 31, 33, 62, 66, 93, 99, 186, 198, 279, 341, 558, 682, 1023, 2046, 3069, 6138

Least Common Multiple of 6136 and 6138 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 6138, than apply into the LCM equation.

GCF(6136,6138) = 2
LCM(6136,6138) = ( 6136 × 6138) / 2
LCM(6136,6138) = 37662768 / 2
LCM(6136,6138) = 18831384

Properties of LCM 6136 and 6138

(i) The LCM of 6138 and 6136 is associative

LCM of 6136 and 6138 = LCM of 6138 and 6136

Related Least Common Multiples of 6136

Related Least Common Multiples of 6138

Frequently Asked Questions on LCM of 6136 and 6138

1. What is the LCM of 6136 and 6138?

Answer: LCM of 6136 and 6138 is 18831384.

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 6138?

Answer: Factors of 6138 are 1, 2, 3, 6, 9, 11, 18, 22, 31, 33, 62, 66, 93, 99, 186, 198, 279, 341, 558, 682, 1023, 2046, 3069, 6138. There are 24 integers that are factors of 6138. The greatest factor of 6138 is 6138.

4. How to Find the LCM of 6136 and 6138?

Answer:

Least Common Multiple of 6136 and 6138 = 18831384

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 6138

6138 = 2 x 3 x 3 x 11 x 31

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

LCM = 18831384 = 2 x 2 x 2 x 3 x 3 x 11 x 13 x 31 x 59

Step 4: Therefore, the least common multiple of 6136 and 6138 is 18831384.