Least Common Multiple of 6104 and 6109

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 6109 the smallest integer that is 37289336 that is divisible by both numbers.

Least Common Multiple (LCM) of 6104 and 6109 is 37289336.

LCM(6104,6109) = 37289336

LCM of 6104 and 6109

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

LCM of:
and

Least Common Multiple of 6104 and 6109

LCM of 6104 and 6109 is 37289336

Least common multiple can be found by multiplying the highest exponent prime factors of 6104 and 6109. First we will calculate the prime factors of 6104 and 6109.

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 6109


41 6109
149 149
1

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

6109 = 411×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 6104 and 6109.

LCM(6104,6109) = 23×71×411×1091×1491
LCM(6104,6109) = 37289336

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 6109

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

1, 41, 149, 6109

Least Common Multiple of 6104 and 6109 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 6109, than apply into the LCM equation.

GCF(6104,6109) = 1
LCM(6104,6109) = ( 6104 × 6109) / 1
LCM(6104,6109) = 37289336 / 1
LCM(6104,6109) = 37289336

Properties of LCM 6104 and 6109

(i) The LCM of 6109 and 6104 is associative

LCM of 6104 and 6109 = LCM of 6109 and 6104

Related Least Common Multiples of 6104

Related Least Common Multiples of 6109

Frequently Asked Questions on LCM of 6104 and 6109

1. What is the LCM of 6104 and 6109?

Answer: LCM of 6104 and 6109 is 37289336.

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 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.

4. How to Find the LCM of 6104 and 6109?

Answer:

Least Common Multiple of 6104 and 6109 = 37289336

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 6109

6109 = 41 x 149

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

LCM = 37289336 = 2 x 2 x 2 x 7 x 41 x 109 x 149

Step 4: Therefore, the least common multiple of 6104 and 6109 is 37289336.