Least Common Multiple of 6104 and 6110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6104 and 6110 the smallest integer that is 18647720 that is divisible by both numbers.

Least Common Multiple (LCM) of 6104 and 6110 is 18647720.

LCM(6104,6110) = 18647720

LCM of 6104 and 6110

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

LCM of:
and

Least Common Multiple of 6104 and 6110

LCM of 6104 and 6110 is 18647720

Least common multiple can be found by multiplying the highest exponent prime factors of 6104 and 6110. First we will calculate the prime factors of 6104 and 6110.

Prime Factorization of 6104


2 6104
2 3052
2 1526
7 763
109 109
1

Prime factors of 6104 are 2, 7,109. Prime factorization of 6104 in exponential form is:

6104 = 23×71×1091

Prime Factorization of 6110


2 6110
5 3055
13 611
47 47
1

Prime factors of 6110 are 2, 5, 13,47. Prime factorization of 6110 in exponential form is:

6110 = 21×51×131×471

Now multiplying the highest exponent prime factors to calculate the LCM of 6104 and 6110.

LCM(6104,6110) = 23×51×71×131×471×1091
LCM(6104,6110) = 18647720

Factors of 6104

List of positive integer factors of 6104 that divides 6104 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 109, 218, 436, 763, 872, 1526, 3052, 6104

Factors of 6110

List of positive integer factors of 6110 that divides 6110 without a remainder.

1, 2, 5, 10, 13, 26, 47, 65, 94, 130, 235, 470, 611, 1222, 3055, 6110

Least Common Multiple of 6104 and 6110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6104 and 6110, than apply into the LCM equation.

GCF(6104,6110) = 2
LCM(6104,6110) = ( 6104 × 6110) / 2
LCM(6104,6110) = 37295440 / 2
LCM(6104,6110) = 18647720

Properties of LCM 6104 and 6110

(i) The LCM of 6110 and 6104 is associative

LCM of 6104 and 6110 = LCM of 6110 and 6104

Related Least Common Multiples of 6104

Related Least Common Multiples of 6110

Frequently Asked Questions on LCM of 6104 and 6110

1. What is the LCM of 6104 and 6110?

Answer: LCM of 6104 and 6110 is 18647720.

2. What are the Factors of 6104?

Answer: Factors of 6104 are 1, 2, 4, 7, 8, 14, 28, 56, 109, 218, 436, 763, 872, 1526, 3052, 6104. There are 16 integers that are factors of 6104. The greatest factor of 6104 is 6104.

3. What are the Factors of 6110?

Answer: Factors of 6110 are 1, 2, 5, 10, 13, 26, 47, 65, 94, 130, 235, 470, 611, 1222, 3055, 6110. There are 16 integers that are factors of 6110. The greatest factor of 6110 is 6110.

4. How to Find the LCM of 6104 and 6110?

Answer:

Least Common Multiple of 6104 and 6110 = 18647720

Step 1: Find the prime factorization of 6104

6104 = 2 x 2 x 2 x 7 x 109

Step 2: Find the prime factorization of 6110

6110 = 2 x 5 x 13 x 47

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

LCM = 18647720 = 2 x 2 x 2 x 5 x 7 x 13 x 47 x 109

Step 4: Therefore, the least common multiple of 6104 and 6110 is 18647720.