Least Common Multiple of 6133 and 6139

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 6139 the smallest integer that is 37650487 that is divisible by both numbers.

Least Common Multiple (LCM) of 6133 and 6139 is 37650487.

LCM(6133,6139) = 37650487

LCM of 6133 and 6139

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

LCM of:
and

Least Common Multiple of 6133 and 6139

LCM of 6133 and 6139 is 37650487

Least common multiple can be found by multiplying the highest exponent prime factors of 6133 and 6139. First we will calculate the prime factors of 6133 and 6139.

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 6139


7 6139
877 877
1

Prime factors of 6139 are 7,877. Prime factorization of 6139 in exponential form is:

6139 = 71×8771

Now multiplying the highest exponent prime factors to calculate the LCM of 6133 and 6139.

LCM(6133,6139) = 71×8771×61331
LCM(6133,6139) = 37650487

Factors of 6133

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

1, 6133

Factors of 6139

List of positive integer factors of 6139 that divides 6139 without a remainder.

1, 7, 877, 6139

Least Common Multiple of 6133 and 6139 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 6139, than apply into the LCM equation.

GCF(6133,6139) = 1
LCM(6133,6139) = ( 6133 × 6139) / 1
LCM(6133,6139) = 37650487 / 1
LCM(6133,6139) = 37650487

Properties of LCM 6133 and 6139

(i) The LCM of 6139 and 6133 is associative

LCM of 6133 and 6139 = LCM of 6139 and 6133

Related Least Common Multiples of 6133

Related Least Common Multiples of 6139

Frequently Asked Questions on LCM of 6133 and 6139

1. What is the LCM of 6133 and 6139?

Answer: LCM of 6133 and 6139 is 37650487.

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 6139?

Answer: Factors of 6139 are 1, 7, 877, 6139. There are 4 integers that are factors of 6139. The greatest factor of 6139 is 6139.

4. How to Find the LCM of 6133 and 6139?

Answer:

Least Common Multiple of 6133 and 6139 = 37650487

Step 1: Find the prime factorization of 6133

6133 = 6133

Step 2: Find the prime factorization of 6139

6139 = 7 x 877

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

LCM = 37650487 = 7 x 877 x 6133

Step 4: Therefore, the least common multiple of 6133 and 6139 is 37650487.