Least Common Multiple of 6102 and 6107
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6102 and 6107 the smallest integer that is 37264914 that is divisible by both numbers.
Least Common Multiple (LCM) of 6102 and 6107 is 37264914.
LCM(6102,6107) = 37264914
LCM of 6102 and 6107
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6102 and 6107 by Prime method
- Least Common Multiple of 6102 and 6107 with GCF Formula
LCM of 6102 and 6107 is 37264914
Least common multiple can be found by multiplying the highest exponent prime factors of 6102 and 6107. First we will calculate the prime factors of 6102 and 6107.
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
Prime Factorization of 6107
| 31 | 6107 |
| 197 | 197 |
| 1 |
Prime factors of 6107 are 31,197. Prime factorization of 6107 in exponential form is:
6107 = 311×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 6102 and 6107.
LCM(6102,6107) = 21×33×311×1131×1971
LCM(6102,6107) = 37264914
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
Factors of 6107
List of positive integer factors of 6107 that divides 6107 without a remainder.
1, 31, 197, 6107
Least Common Multiple of 6102 and 6107 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6102 and 6107, than apply into the LCM equation.
GCF(6102,6107) = 1
LCM(6102,6107) = ( 6102 × 6107) / 1
LCM(6102,6107) = 37264914 / 1
LCM(6102,6107) = 37264914
Properties of LCM 6102 and 6107
(i) The LCM of 6107 and 6102 is associative
LCM of 6102 and 6107 = LCM of 6107 and 6102
Related Least Common Multiples of 6102
Related Least Common Multiples of 6107
Frequently Asked Questions on LCM of 6102 and 6107
1. What is the LCM of 6102 and 6107?
Answer: LCM of 6102 and 6107 is 37264914.
2. 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.
3. What are the Factors of 6107?
Answer: Factors of 6107 are 1, 31, 197, 6107. There are 4 integers that are factors of 6107. The greatest factor of 6107 is 6107.
4. How to Find the LCM of 6102 and 6107?
Answer:
Least Common Multiple of 6102 and 6107 = 37264914
Step 1: Find the prime factorization of 6102
6102 = 2 x 3 x 3 x 3 x 113
Step 2: Find the prime factorization of 6107
6107 = 31 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 37264914 = 2 x 3 x 3 x 3 x 31 x 113 x 197
Step 4: Therefore, the least common multiple of 6102 and 6107 is 37264914.