Least Common Multiple of 6109 and 6117
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 6117 the smallest integer that is 37368753 that is divisible by both numbers.
Least Common Multiple (LCM) of 6109 and 6117 is 37368753.
LCM(6109,6117) = 37368753
LCM of 6109 and 6117
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6109 and 6117 by Prime method
- Least Common Multiple of 6109 and 6117 with GCF Formula
LCM of 6109 and 6117 is 37368753
Least common multiple can be found by multiplying the highest exponent prime factors of 6109 and 6117. First we will calculate the prime factors of 6109 and 6117.
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 6117
| 3 | 6117 |
| 2039 | 2039 |
| 1 |
Prime factors of 6117 are 3,2039. Prime factorization of 6117 in exponential form is:
6117 = 31×20391
Now multiplying the highest exponent prime factors to calculate the LCM of 6109 and 6117.
LCM(6109,6117) = 31×411×1491×20391
LCM(6109,6117) = 37368753
Factors of 6109
List of positive integer factors of 6109 that divides 6109 without a remainder.
1, 41, 149, 6109
Factors of 6117
List of positive integer factors of 6117 that divides 6117 without a remainder.
1, 3, 2039, 6117
Least Common Multiple of 6109 and 6117 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 6117, than apply into the LCM equation.
GCF(6109,6117) = 1
LCM(6109,6117) = ( 6109 × 6117) / 1
LCM(6109,6117) = 37368753 / 1
LCM(6109,6117) = 37368753
Properties of LCM 6109 and 6117
(i) The LCM of 6117 and 6109 is associative
LCM of 6109 and 6117 = LCM of 6117 and 6109
Related Least Common Multiples of 6109
Related Least Common Multiples of 6117
Frequently Asked Questions on LCM of 6109 and 6117
1. What is the LCM of 6109 and 6117?
Answer: LCM of 6109 and 6117 is 37368753.
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 6117?
Answer: Factors of 6117 are 1, 3, 2039, 6117. There are 4 integers that are factors of 6117. The greatest factor of 6117 is 6117.
4. How to Find the LCM of 6109 and 6117?
Answer:
Least Common Multiple of 6109 and 6117 = 37368753
Step 1: Find the prime factorization of 6109
6109 = 41 x 149
Step 2: Find the prime factorization of 6117
6117 = 3 x 2039
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 37368753 = 3 x 41 x 149 x 2039
Step 4: Therefore, the least common multiple of 6109 and 6117 is 37368753.