Least Common Multiple of 6109 and 6115
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6109 and 6115 the smallest integer that is 37356535 that is divisible by both numbers.
Least Common Multiple (LCM) of 6109 and 6115 is 37356535.
LCM(6109,6115) = 37356535
LCM of 6109 and 6115
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6109 and 6115 by Prime method
- Least Common Multiple of 6109 and 6115 with GCF Formula
LCM of 6109 and 6115 is 37356535
Least common multiple can be found by multiplying the highest exponent prime factors of 6109 and 6115. First we will calculate the prime factors of 6109 and 6115.
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
Prime Factorization of 6115
| 5 | 6115 |
| 1223 | 1223 |
| 1 |
Prime factors of 6115 are 5,1223. Prime factorization of 6115 in exponential form is:
6115 = 51×12231
Now multiplying the highest exponent prime factors to calculate the LCM of 6109 and 6115.
LCM(6109,6115) = 51×411×1491×12231
LCM(6109,6115) = 37356535
Factors of 6109
List of positive integer factors of 6109 that divides 6109 without a remainder.
1, 41, 149, 6109
Factors of 6115
List of positive integer factors of 6115 that divides 6115 without a remainder.
1, 5, 1223, 6115
Least Common Multiple of 6109 and 6115 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6109 and 6115, than apply into the LCM equation.
GCF(6109,6115) = 1
LCM(6109,6115) = ( 6109 × 6115) / 1
LCM(6109,6115) = 37356535 / 1
LCM(6109,6115) = 37356535
Properties of LCM 6109 and 6115
(i) The LCM of 6115 and 6109 is associative
LCM of 6109 and 6115 = LCM of 6115 and 6109
Related Least Common Multiples of 6109
Related Least Common Multiples of 6115
Frequently Asked Questions on LCM of 6109 and 6115
1. What is the LCM of 6109 and 6115?
Answer: LCM of 6109 and 6115 is 37356535.
2. 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.
3. What are the Factors of 6115?
Answer: Factors of 6115 are 1, 5, 1223, 6115. There are 4 integers that are factors of 6115. The greatest factor of 6115 is 6115.
4. How to Find the LCM of 6109 and 6115?
Answer:
Least Common Multiple of 6109 and 6115 = 37356535
Step 1: Find the prime factorization of 6109
6109 = 41 x 149
Step 2: Find the prime factorization of 6115
6115 = 5 x 1223
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 37356535 = 5 x 41 x 149 x 1223
Step 4: Therefore, the least common multiple of 6109 and 6115 is 37356535.