Least Common Multiple of 6140 and 6147

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 6147 the smallest integer that is 37742580 that is divisible by both numbers.

Least Common Multiple (LCM) of 6140 and 6147 is 37742580.

LCM(6140,6147) = 37742580

LCM of 6140 and 6147

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

LCM of:
and

Least Common Multiple of 6140 and 6147

LCM of 6140 and 6147 is 37742580

Least common multiple can be found by multiplying the highest exponent prime factors of 6140 and 6147. First we will calculate the prime factors of 6140 and 6147.

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 6147


3 6147
3 2049
683 683
1

Prime factors of 6147 are 3,683. Prime factorization of 6147 in exponential form is:

6147 = 32×6831

Now multiplying the highest exponent prime factors to calculate the LCM of 6140 and 6147.

LCM(6140,6147) = 22×32×51×3071×6831
LCM(6140,6147) = 37742580

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 6147

List of positive integer factors of 6147 that divides 6147 without a remainder.

1, 3, 9, 683, 2049, 6147

Least Common Multiple of 6140 and 6147 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 6147, than apply into the LCM equation.

GCF(6140,6147) = 1
LCM(6140,6147) = ( 6140 × 6147) / 1
LCM(6140,6147) = 37742580 / 1
LCM(6140,6147) = 37742580

Properties of LCM 6140 and 6147

(i) The LCM of 6147 and 6140 is associative

LCM of 6140 and 6147 = LCM of 6147 and 6140

Related Least Common Multiples of 6140

Related Least Common Multiples of 6147

Frequently Asked Questions on LCM of 6140 and 6147

1. What is the LCM of 6140 and 6147?

Answer: LCM of 6140 and 6147 is 37742580.

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 6147?

Answer: Factors of 6147 are 1, 3, 9, 683, 2049, 6147. There are 6 integers that are factors of 6147. The greatest factor of 6147 is 6147.

4. How to Find the LCM of 6140 and 6147?

Answer:

Least Common Multiple of 6140 and 6147 = 37742580

Step 1: Find the prime factorization of 6140

6140 = 2 x 2 x 5 x 307

Step 2: Find the prime factorization of 6147

6147 = 3 x 3 x 683

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

LCM = 37742580 = 2 x 2 x 3 x 3 x 5 x 307 x 683

Step 4: Therefore, the least common multiple of 6140 and 6147 is 37742580.