Least Common Multiple of 6140 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 6140 and 6144 the smallest integer that is 9431040 that is divisible by both numbers.

Least Common Multiple (LCM) of 6140 and 6144 is 9431040.

LCM(6140,6144) = 9431040

LCM of 6140 and 6144

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

LCM of:
and

Least Common Multiple of 6140 and 6144

LCM of 6140 and 6144 is 9431040

Least common multiple can be found by multiplying the highest exponent prime factors of 6140 and 6144. First we will calculate the prime factors of 6140 and 6144.

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 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 6140 and 6144.

LCM(6140,6144) = 211×31×51×3071
LCM(6140,6144) = 9431040

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 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 6140 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 6140 and 6144, than apply into the LCM equation.

GCF(6140,6144) = 4
LCM(6140,6144) = ( 6140 × 6144) / 4
LCM(6140,6144) = 37724160 / 4
LCM(6140,6144) = 9431040

Properties of LCM 6140 and 6144

(i) The LCM of 6144 and 6140 is associative

LCM of 6140 and 6144 = LCM of 6144 and 6140

Related Least Common Multiples of 6140

Related Least Common Multiples of 6144

Frequently Asked Questions on LCM of 6140 and 6144

1. What is the LCM of 6140 and 6144?

Answer: LCM of 6140 and 6144 is 9431040.

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 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 6140 and 6144?

Answer:

Least Common Multiple of 6140 and 6144 = 9431040

Step 1: Find the prime factorization of 6140

6140 = 2 x 2 x 5 x 307

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 = 9431040 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 307

Step 4: Therefore, the least common multiple of 6140 and 6144 is 9431040.