Least Common Multiple of 6102 and 6109
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 6109 the smallest integer that is 37277118 that is divisible by both numbers.
Least Common Multiple (LCM) of 6102 and 6109 is 37277118.
LCM(6102,6109) = 37277118
LCM of 6102 and 6109
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6102 and 6109 by Prime method
- Least Common Multiple of 6102 and 6109 with GCF Formula
LCM of 6102 and 6109 is 37277118
Least common multiple can be found by multiplying the highest exponent prime factors of 6102 and 6109. First we will calculate the prime factors of 6102 and 6109.
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 6109
| 41 | 6109 |
| 149 | 149 |
| 1 |
Prime factors of 6109 are 41,149. Prime factorization of 6109 in exponential form is:
6109 = 411×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 6102 and 6109.
LCM(6102,6109) = 21×33×411×1131×1491
LCM(6102,6109) = 37277118
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 6109
List of positive integer factors of 6109 that divides 6109 without a remainder.
1, 41, 149, 6109
Least Common Multiple of 6102 and 6109 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 6109, than apply into the LCM equation.
GCF(6102,6109) = 1
LCM(6102,6109) = ( 6102 × 6109) / 1
LCM(6102,6109) = 37277118 / 1
LCM(6102,6109) = 37277118
Properties of LCM 6102 and 6109
(i) The LCM of 6109 and 6102 is associative
LCM of 6102 and 6109 = LCM of 6109 and 6102
Related Least Common Multiples of 6102
Related Least Common Multiples of 6109
Frequently Asked Questions on LCM of 6102 and 6109
1. What is the LCM of 6102 and 6109?
Answer: LCM of 6102 and 6109 is 37277118.
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 6109?
Answer: Factors of 6109 are 1, 41, 149, 6109. There are 4 integers that are factors of 6109. The greatest factor of 6109 is 6109.
4. How to Find the LCM of 6102 and 6109?
Answer:
Least Common Multiple of 6102 and 6109 = 37277118
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 6109
6109 = 41 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 37277118 = 2 x 3 x 3 x 3 x 41 x 113 x 149
Step 4: Therefore, the least common multiple of 6102 and 6109 is 37277118.