Least Common Multiple of 6104 and 6108

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 6108 the smallest integer that is 9320808 that is divisible by both numbers.

Least Common Multiple (LCM) of 6104 and 6108 is 9320808.

LCM(6104,6108) = 9320808

LCM of 6104 and 6108

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

LCM of:
and

Least Common Multiple of 6104 and 6108

LCM of 6104 and 6108 is 9320808

Least common multiple can be found by multiplying the highest exponent prime factors of 6104 and 6108. First we will calculate the prime factors of 6104 and 6108.

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 6108


2 6108
2 3054
3 1527
509 509
1

Prime factors of 6108 are 2, 3,509. Prime factorization of 6108 in exponential form is:

6108 = 22×31×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 6104 and 6108.

LCM(6104,6108) = 23×31×71×1091×5091
LCM(6104,6108) = 9320808

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 6108

List of positive integer factors of 6108 that divides 6108 without a remainder.

1, 2, 3, 4, 6, 12, 509, 1018, 1527, 2036, 3054, 6108

Least Common Multiple of 6104 and 6108 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 6108, than apply into the LCM equation.

GCF(6104,6108) = 4
LCM(6104,6108) = ( 6104 × 6108) / 4
LCM(6104,6108) = 37283232 / 4
LCM(6104,6108) = 9320808

Properties of LCM 6104 and 6108

(i) The LCM of 6108 and 6104 is associative

LCM of 6104 and 6108 = LCM of 6108 and 6104

Related Least Common Multiples of 6104

Related Least Common Multiples of 6108

Frequently Asked Questions on LCM of 6104 and 6108

1. What is the LCM of 6104 and 6108?

Answer: LCM of 6104 and 6108 is 9320808.

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 6108?

Answer: Factors of 6108 are 1, 2, 3, 4, 6, 12, 509, 1018, 1527, 2036, 3054, 6108. There are 12 integers that are factors of 6108. The greatest factor of 6108 is 6108.

4. How to Find the LCM of 6104 and 6108?

Answer:

Least Common Multiple of 6104 and 6108 = 9320808

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 6108

6108 = 2 x 2 x 3 x 509

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

LCM = 9320808 = 2 x 2 x 2 x 3 x 7 x 109 x 509

Step 4: Therefore, the least common multiple of 6104 and 6108 is 9320808.