Least Common Multiple of 6098 and 6102

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 6102 the smallest integer that is 18604998 that is divisible by both numbers.

Least Common Multiple (LCM) of 6098 and 6102 is 18604998.

LCM(6098,6102) = 18604998

LCM of 6098 and 6102

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

LCM of:
and

Least Common Multiple of 6098 and 6102

LCM of 6098 and 6102 is 18604998

Least common multiple can be found by multiplying the highest exponent prime factors of 6098 and 6102. First we will calculate the prime factors of 6098 and 6102.

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 6102


2 6102
3 3051
3 1017
3 339
113 113
1

Prime factors of 6102 are 2, 3,113. Prime factorization of 6102 in exponential form is:

6102 = 21×33×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 6098 and 6102.

LCM(6098,6102) = 21×33×1131×30491
LCM(6098,6102) = 18604998

Factors of 6098

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

1, 2, 3049, 6098

Factors of 6102

List of positive integer factors of 6102 that divides 6102 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 113, 226, 339, 678, 1017, 2034, 3051, 6102

Least Common Multiple of 6098 and 6102 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 6102, than apply into the LCM equation.

GCF(6098,6102) = 2
LCM(6098,6102) = ( 6098 × 6102) / 2
LCM(6098,6102) = 37209996 / 2
LCM(6098,6102) = 18604998

Properties of LCM 6098 and 6102

(i) The LCM of 6102 and 6098 is associative

LCM of 6098 and 6102 = LCM of 6102 and 6098

Related Least Common Multiples of 6098

Related Least Common Multiples of 6102

Frequently Asked Questions on LCM of 6098 and 6102

1. What is the LCM of 6098 and 6102?

Answer: LCM of 6098 and 6102 is 18604998.

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 6102?

Answer: Factors of 6102 are 1, 2, 3, 6, 9, 18, 27, 54, 113, 226, 339, 678, 1017, 2034, 3051, 6102. There are 16 integers that are factors of 6102. The greatest factor of 6102 is 6102.

4. How to Find the LCM of 6098 and 6102?

Answer:

Least Common Multiple of 6098 and 6102 = 18604998

Step 1: Find the prime factorization of 6098

6098 = 2 x 3049

Step 2: Find the prime factorization of 6102

6102 = 2 x 3 x 3 x 3 x 113

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

LCM = 18604998 = 2 x 3 x 3 x 3 x 113 x 3049

Step 4: Therefore, the least common multiple of 6098 and 6102 is 18604998.