Least Common Multiple of 6098 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 6098 and 6104 the smallest integer that is 18611096 that is divisible by both numbers.

Least Common Multiple (LCM) of 6098 and 6104 is 18611096.

LCM(6098,6104) = 18611096

LCM of 6098 and 6104

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

LCM of:
and

Least Common Multiple of 6098 and 6104

LCM of 6098 and 6104 is 18611096

Least common multiple can be found by multiplying the highest exponent prime factors of 6098 and 6104. First we will calculate the prime factors of 6098 and 6104.

Prime Factorization of 6098


2 6098
3049 3049
1

Prime factors of 6098 are 2,3049. Prime factorization of 6098 in exponential form is:

6098 = 21×30491

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 6098 and 6104.

LCM(6098,6104) = 23×71×1091×30491
LCM(6098,6104) = 18611096

Factors of 6098

List of positive integer factors of 6098 that divides 6098 without a remainder.

1, 2, 3049, 6098

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 6098 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 6098 and 6104, than apply into the LCM equation.

GCF(6098,6104) = 2
LCM(6098,6104) = ( 6098 × 6104) / 2
LCM(6098,6104) = 37222192 / 2
LCM(6098,6104) = 18611096

Properties of LCM 6098 and 6104

(i) The LCM of 6104 and 6098 is associative

LCM of 6098 and 6104 = LCM of 6104 and 6098

Related Least Common Multiples of 6098

Related Least Common Multiples of 6104

Frequently Asked Questions on LCM of 6098 and 6104

1. What is the LCM of 6098 and 6104?

Answer: LCM of 6098 and 6104 is 18611096.

2. What are the Factors of 6098?

Answer: Factors of 6098 are 1, 2, 3049, 6098. There are 4 integers that are factors of 6098. The greatest factor of 6098 is 6098.

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 6098 and 6104?

Answer:

Least Common Multiple of 6098 and 6104 = 18611096

Step 1: Find the prime factorization of 6098

6098 = 2 x 3049

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 = 18611096 = 2 x 2 x 2 x 7 x 109 x 3049

Step 4: Therefore, the least common multiple of 6098 and 6104 is 18611096.