Least Common Multiple of 6105 and 6113
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6105 and 6113 the smallest integer that is 37319865 that is divisible by both numbers.
Least Common Multiple (LCM) of 6105 and 6113 is 37319865.
LCM(6105,6113) = 37319865
LCM of 6105 and 6113
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6105 and 6113 by Prime method
- Least Common Multiple of 6105 and 6113 with GCF Formula
LCM of 6105 and 6113 is 37319865
Least common multiple can be found by multiplying the highest exponent prime factors of 6105 and 6113. First we will calculate the prime factors of 6105 and 6113.
Prime Factorization of 6105
| 3 | 6105 |
| 5 | 2035 |
| 11 | 407 |
| 37 | 37 |
| 1 |
Prime factors of 6105 are 3, 5, 11,37. Prime factorization of 6105 in exponential form is:
6105 = 31×51×111×371
Prime Factorization of 6113
| 6113 | 6113 |
| 1 |
Prime factors of 6113 are 6113. Prime factorization of 6113 in exponential form is:
6113 = 61131
Now multiplying the highest exponent prime factors to calculate the LCM of 6105 and 6113.
LCM(6105,6113) = 31×51×111×371×61131
LCM(6105,6113) = 37319865
Factors of 6105
List of positive integer factors of 6105 that divides 6105 without a remainder.
1, 3, 5, 11, 15, 33, 37, 55, 111, 165, 185, 407, 555, 1221, 2035, 6105
Factors of 6113
List of positive integer factors of 6113 that divides 6113 without a remainder.
1, 6113
Least Common Multiple of 6105 and 6113 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6105 and 6113, than apply into the LCM equation.
GCF(6105,6113) = 1
LCM(6105,6113) = ( 6105 × 6113) / 1
LCM(6105,6113) = 37319865 / 1
LCM(6105,6113) = 37319865
Properties of LCM 6105 and 6113
(i) The LCM of 6113 and 6105 is associative
LCM of 6105 and 6113 = LCM of 6113 and 6105
Related Least Common Multiples of 6105
Related Least Common Multiples of 6113
Frequently Asked Questions on LCM of 6105 and 6113
1. What is the LCM of 6105 and 6113?
Answer: LCM of 6105 and 6113 is 37319865.
2. What are the Factors of 6105?
Answer: Factors of 6105 are 1, 3, 5, 11, 15, 33, 37, 55, 111, 165, 185, 407, 555, 1221, 2035, 6105. There are 16 integers that are factors of 6105. The greatest factor of 6105 is 6105.
3. What are the Factors of 6113?
Answer: Factors of 6113 are 1, 6113. There are 2 integers that are factors of 6113. The greatest factor of 6113 is 6113.
4. How to Find the LCM of 6105 and 6113?
Answer:
Least Common Multiple of 6105 and 6113 = 37319865
Step 1: Find the prime factorization of 6105
6105 = 3 x 5 x 11 x 37
Step 2: Find the prime factorization of 6113
6113 = 6113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 37319865 = 3 x 5 x 11 x 37 x 6113
Step 4: Therefore, the least common multiple of 6105 and 6113 is 37319865.