Least Common Multiple of 6133 and 6140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6133 and 6140 the smallest integer that is 37656620 that is divisible by both numbers.

Least Common Multiple (LCM) of 6133 and 6140 is 37656620.

LCM(6133,6140) = 37656620

LCM of 6133 and 6140

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

LCM of:
and

Least Common Multiple of 6133 and 6140

LCM of 6133 and 6140 is 37656620

Least common multiple can be found by multiplying the highest exponent prime factors of 6133 and 6140. First we will calculate the prime factors of 6133 and 6140.

Prime Factorization of 6133


6133 6133
1

Prime factors of 6133 are 6133. Prime factorization of 6133 in exponential form is:

6133 = 61331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6133 and 6140.

LCM(6133,6140) = 22×51×3071×61331
LCM(6133,6140) = 37656620

Factors of 6133

List of positive integer factors of 6133 that divides 6133 without a remainder.

1, 6133

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

Least Common Multiple of 6133 and 6140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6133 and 6140, than apply into the LCM equation.

GCF(6133,6140) = 1
LCM(6133,6140) = ( 6133 × 6140) / 1
LCM(6133,6140) = 37656620 / 1
LCM(6133,6140) = 37656620

Properties of LCM 6133 and 6140

(i) The LCM of 6140 and 6133 is associative

LCM of 6133 and 6140 = LCM of 6140 and 6133

Related Least Common Multiples of 6133

Related Least Common Multiples of 6140

Frequently Asked Questions on LCM of 6133 and 6140

1. What is the LCM of 6133 and 6140?

Answer: LCM of 6133 and 6140 is 37656620.

2. What are the Factors of 6133?

Answer: Factors of 6133 are 1, 6133. There are 2 integers that are factors of 6133. The greatest factor of 6133 is 6133.

3. 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.

4. How to Find the LCM of 6133 and 6140?

Answer:

Least Common Multiple of 6133 and 6140 = 37656620

Step 1: Find the prime factorization of 6133

6133 = 6133

Step 2: Find the prime factorization of 6140

6140 = 2 x 2 x 5 x 307

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

LCM = 37656620 = 2 x 2 x 5 x 307 x 6133

Step 4: Therefore, the least common multiple of 6133 and 6140 is 37656620.