Least Common Multiple of 6096 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 6096 and 6102 the smallest integer that is 6199632 that is divisible by both numbers.

Least Common Multiple (LCM) of 6096 and 6102 is 6199632.

LCM(6096,6102) = 6199632

LCM of 6096 and 6102

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

LCM of:
and

Least Common Multiple of 6096 and 6102

LCM of 6096 and 6102 is 6199632

Least common multiple can be found by multiplying the highest exponent prime factors of 6096 and 6102. First we will calculate the prime factors of 6096 and 6102.

Prime Factorization of 6096


2 6096
2 3048
2 1524
2 762
3 381
127 127
1

Prime factors of 6096 are 2, 3,127. Prime factorization of 6096 in exponential form is:

6096 = 24×31×1271

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 6096 and 6102.

LCM(6096,6102) = 24×33×1131×1271
LCM(6096,6102) = 6199632

Factors of 6096

List of positive integer factors of 6096 that divides 6096 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 127, 254, 381, 508, 762, 1016, 1524, 2032, 3048, 6096

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 6096 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 6096 and 6102, than apply into the LCM equation.

GCF(6096,6102) = 6
LCM(6096,6102) = ( 6096 × 6102) / 6
LCM(6096,6102) = 37197792 / 6
LCM(6096,6102) = 6199632

Properties of LCM 6096 and 6102

(i) The LCM of 6102 and 6096 is associative

LCM of 6096 and 6102 = LCM of 6102 and 6096

Related Least Common Multiples of 6096

Related Least Common Multiples of 6102

Frequently Asked Questions on LCM of 6096 and 6102

1. What is the LCM of 6096 and 6102?

Answer: LCM of 6096 and 6102 is 6199632.

2. What are the Factors of 6096?

Answer: Factors of 6096 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 127, 254, 381, 508, 762, 1016, 1524, 2032, 3048, 6096. There are 20 integers that are factors of 6096. The greatest factor of 6096 is 6096.

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 6096 and 6102?

Answer:

Least Common Multiple of 6096 and 6102 = 6199632

Step 1: Find the prime factorization of 6096

6096 = 2 x 2 x 2 x 2 x 3 x 127

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 = 6199632 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 113 x 127

Step 4: Therefore, the least common multiple of 6096 and 6102 is 6199632.