Least Common Multiple of 6109 and 6113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6109 and 6113 the smallest integer that is 37344317 that is divisible by both numbers.

Least Common Multiple (LCM) of 6109 and 6113 is 37344317.

LCM(6109,6113) = 37344317

LCM of 6109 and 6113

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

LCM of:
and

Least Common Multiple of 6109 and 6113

LCM of 6109 and 6113 is 37344317

Least common multiple can be found by multiplying the highest exponent prime factors of 6109 and 6113. First we will calculate the prime factors of 6109 and 6113.

Prime Factorization of 6109


41 6109
149 149
1

Prime factors of 6109 are 41,149. Prime factorization of 6109 in exponential form is:

6109 = 411×1491

Prime Factorization of 6113


6113 6113
1

Prime factors of 6113 are 6113. Prime factorization of 6113 in exponential form is:

6113 = 61131

Now multiplying the highest exponent prime factors to calculate the LCM of 6109 and 6113.

LCM(6109,6113) = 411×1491×61131
LCM(6109,6113) = 37344317

Factors of 6109

List of positive integer factors of 6109 that divides 6109 without a remainder.

1, 41, 149, 6109

Factors of 6113

List of positive integer factors of 6113 that divides 6113 without a remainder.

1, 6113

Least Common Multiple of 6109 and 6113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6109 and 6113, than apply into the LCM equation.

GCF(6109,6113) = 1
LCM(6109,6113) = ( 6109 × 6113) / 1
LCM(6109,6113) = 37344317 / 1
LCM(6109,6113) = 37344317

Properties of LCM 6109 and 6113

(i) The LCM of 6113 and 6109 is associative

LCM of 6109 and 6113 = LCM of 6113 and 6109

Related Least Common Multiples of 6109

Related Least Common Multiples of 6113

Frequently Asked Questions on LCM of 6109 and 6113

1. What is the LCM of 6109 and 6113?

Answer: LCM of 6109 and 6113 is 37344317.

2. What are the Factors of 6109?

Answer: Factors of 6109 are 1, 41, 149, 6109. There are 4 integers that are factors of 6109. The greatest factor of 6109 is 6109.

3. What are the Factors of 6113?

Answer: Factors of 6113 are 1, 6113. There are 2 integers that are factors of 6113. The greatest factor of 6113 is 6113.

4. How to Find the LCM of 6109 and 6113?

Answer:

Least Common Multiple of 6109 and 6113 = 37344317

Step 1: Find the prime factorization of 6109

6109 = 41 x 149

Step 2: Find the prime factorization of 6113

6113 = 6113

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

LCM = 37344317 = 41 x 149 x 6113

Step 4: Therefore, the least common multiple of 6109 and 6113 is 37344317.