Least Common Multiple of 6097 and 6104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6097 and 6104 the smallest integer that is 5316584 that is divisible by both numbers.

Least Common Multiple (LCM) of 6097 and 6104 is 5316584.

LCM(6097,6104) = 5316584

LCM of 6097 and 6104

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

LCM of:
and

Least Common Multiple of 6097 and 6104

LCM of 6097 and 6104 is 5316584

Least common multiple can be found by multiplying the highest exponent prime factors of 6097 and 6104. First we will calculate the prime factors of 6097 and 6104.

Prime Factorization of 6097


7 6097
13 871
67 67
1

Prime factors of 6097 are 7, 13,67. Prime factorization of 6097 in exponential form is:

6097 = 71×131×671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6097 and 6104.

LCM(6097,6104) = 23×71×131×671×1091
LCM(6097,6104) = 5316584

Factors of 6097

List of positive integer factors of 6097 that divides 6097 without a remainder.

1, 7, 13, 67, 91, 469, 871, 6097

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

Least Common Multiple of 6097 and 6104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6097 and 6104, than apply into the LCM equation.

GCF(6097,6104) = 7
LCM(6097,6104) = ( 6097 × 6104) / 7
LCM(6097,6104) = 37216088 / 7
LCM(6097,6104) = 5316584

Properties of LCM 6097 and 6104

(i) The LCM of 6104 and 6097 is associative

LCM of 6097 and 6104 = LCM of 6104 and 6097

Related Least Common Multiples of 6097

Related Least Common Multiples of 6104

Frequently Asked Questions on LCM of 6097 and 6104

1. What is the LCM of 6097 and 6104?

Answer: LCM of 6097 and 6104 is 5316584.

2. What are the Factors of 6097?

Answer: Factors of 6097 are 1, 7, 13, 67, 91, 469, 871, 6097. There are 8 integers that are factors of 6097. The greatest factor of 6097 is 6097.

3. 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.

4. How to Find the LCM of 6097 and 6104?

Answer:

Least Common Multiple of 6097 and 6104 = 5316584

Step 1: Find the prime factorization of 6097

6097 = 7 x 13 x 67

Step 2: Find the prime factorization of 6104

6104 = 2 x 2 x 2 x 7 x 109

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

LCM = 5316584 = 2 x 2 x 2 x 7 x 13 x 67 x 109

Step 4: Therefore, the least common multiple of 6097 and 6104 is 5316584.