Least Common Multiple of 6104 and 6106

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 6106 the smallest integer that is 18635512 that is divisible by both numbers.

Least Common Multiple (LCM) of 6104 and 6106 is 18635512.

LCM(6104,6106) = 18635512

LCM of 6104 and 6106

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

LCM of:
and

Least Common Multiple of 6104 and 6106

LCM of 6104 and 6106 is 18635512

Least common multiple can be found by multiplying the highest exponent prime factors of 6104 and 6106. First we will calculate the prime factors of 6104 and 6106.

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 6106


2 6106
43 3053
71 71
1

Prime factors of 6106 are 2, 43,71. Prime factorization of 6106 in exponential form is:

6106 = 21×431×711

Now multiplying the highest exponent prime factors to calculate the LCM of 6104 and 6106.

LCM(6104,6106) = 23×71×431×711×1091
LCM(6104,6106) = 18635512

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 6106

List of positive integer factors of 6106 that divides 6106 without a remainder.

1, 2, 43, 71, 86, 142, 3053, 6106

Least Common Multiple of 6104 and 6106 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 6106, than apply into the LCM equation.

GCF(6104,6106) = 2
LCM(6104,6106) = ( 6104 × 6106) / 2
LCM(6104,6106) = 37271024 / 2
LCM(6104,6106) = 18635512

Properties of LCM 6104 and 6106

(i) The LCM of 6106 and 6104 is associative

LCM of 6104 and 6106 = LCM of 6106 and 6104

Related Least Common Multiples of 6104

Related Least Common Multiples of 6106

Frequently Asked Questions on LCM of 6104 and 6106

1. What is the LCM of 6104 and 6106?

Answer: LCM of 6104 and 6106 is 18635512.

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 6106?

Answer: Factors of 6106 are 1, 2, 43, 71, 86, 142, 3053, 6106. There are 8 integers that are factors of 6106. The greatest factor of 6106 is 6106.

4. How to Find the LCM of 6104 and 6106?

Answer:

Least Common Multiple of 6104 and 6106 = 18635512

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 6106

6106 = 2 x 43 x 71

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

LCM = 18635512 = 2 x 2 x 2 x 7 x 43 x 71 x 109

Step 4: Therefore, the least common multiple of 6104 and 6106 is 18635512.