Least Common Multiple of 6137 and 6144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6137 and 6144 the smallest integer that is 37705728 that is divisible by both numbers.

Least Common Multiple (LCM) of 6137 and 6144 is 37705728.

LCM(6137,6144) = 37705728

LCM of 6137 and 6144

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

LCM of:
and

Least Common Multiple of 6137 and 6144

LCM of 6137 and 6144 is 37705728

Least common multiple can be found by multiplying the highest exponent prime factors of 6137 and 6144. First we will calculate the prime factors of 6137 and 6144.

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

Prime Factorization of 6144


2 6144
2 3072
2 1536
2 768
2 384
2 192
2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 6144 are 2,3. Prime factorization of 6144 in exponential form is:

6144 = 211×31

Now multiplying the highest exponent prime factors to calculate the LCM of 6137 and 6144.

LCM(6137,6144) = 211×31×171×192
LCM(6137,6144) = 37705728

Factors of 6137

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

1, 17, 19, 323, 361, 6137

Factors of 6144

List of positive integer factors of 6144 that divides 6144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 2048, 3072, 6144

Least Common Multiple of 6137 and 6144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6137 and 6144, than apply into the LCM equation.

GCF(6137,6144) = 1
LCM(6137,6144) = ( 6137 × 6144) / 1
LCM(6137,6144) = 37705728 / 1
LCM(6137,6144) = 37705728

Properties of LCM 6137 and 6144

(i) The LCM of 6144 and 6137 is associative

LCM of 6137 and 6144 = LCM of 6144 and 6137

Related Least Common Multiples of 6137

Related Least Common Multiples of 6144

Frequently Asked Questions on LCM of 6137 and 6144

1. What is the LCM of 6137 and 6144?

Answer: LCM of 6137 and 6144 is 37705728.

2. 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.

3. What are the Factors of 6144?

Answer: Factors of 6144 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 2048, 3072, 6144. There are 24 integers that are factors of 6144. The greatest factor of 6144 is 6144.

4. How to Find the LCM of 6137 and 6144?

Answer:

Least Common Multiple of 6137 and 6144 = 37705728

Step 1: Find the prime factorization of 6137

6137 = 17 x 19 x 19

Step 2: Find the prime factorization of 6144

6144 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

LCM = 37705728 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 19 x 19

Step 4: Therefore, the least common multiple of 6137 and 6144 is 37705728.