Least Common Multiple of 3105 and 3113
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3105 and 3113 the smallest integer that is 9665865 that is divisible by both numbers.
Least Common Multiple (LCM) of 3105 and 3113 is 9665865.
LCM(3105,3113) = 9665865
LCM of 3105 and 3113
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3105 and 3113 by Prime method
- Least Common Multiple of 3105 and 3113 with GCF Formula
LCM of 3105 and 3113 is 9665865
Least common multiple can be found by multiplying the highest exponent prime factors of 3105 and 3113. First we will calculate the prime factors of 3105 and 3113.
Prime Factorization of 3105
| 3 | 3105 |
| 3 | 1035 |
| 3 | 345 |
| 5 | 115 |
| 23 | 23 |
| 1 |
Prime factors of 3105 are 3, 5,23. Prime factorization of 3105 in exponential form is:
3105 = 33×51×231
Prime Factorization of 3113
| 11 | 3113 |
| 283 | 283 |
| 1 |
Prime factors of 3113 are 11,283. Prime factorization of 3113 in exponential form is:
3113 = 111×2831
Now multiplying the highest exponent prime factors to calculate the LCM of 3105 and 3113.
LCM(3105,3113) = 33×51×111×231×2831
LCM(3105,3113) = 9665865
Factors of 3105
List of positive integer factors of 3105 that divides 3105 without a remainder.
1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035, 3105
Factors of 3113
List of positive integer factors of 3113 that divides 3113 without a remainder.
1, 11, 283, 3113
Least Common Multiple of 3105 and 3113 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3105 and 3113, than apply into the LCM equation.
GCF(3105,3113) = 1
LCM(3105,3113) = ( 3105 × 3113) / 1
LCM(3105,3113) = 9665865 / 1
LCM(3105,3113) = 9665865
Properties of LCM 3105 and 3113
(i) The LCM of 3113 and 3105 is associative
LCM of 3105 and 3113 = LCM of 3113 and 3105
Related Least Common Multiples of 3105
Related Least Common Multiples of 3113
Frequently Asked Questions on LCM of 3105 and 3113
1. What is the LCM of 3105 and 3113?
Answer: LCM of 3105 and 3113 is 9665865.
2. What are the Factors of 3105?
Answer: Factors of 3105 are 1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035, 3105. There are 16 integers that are factors of 3105. The greatest factor of 3105 is 3105.
3. What are the Factors of 3113?
Answer: Factors of 3113 are 1, 11, 283, 3113. There are 4 integers that are factors of 3113. The greatest factor of 3113 is 3113.
4. How to Find the LCM of 3105 and 3113?
Answer:
Least Common Multiple of 3105 and 3113 = 9665865
Step 1: Find the prime factorization of 3105
3105 = 3 x 3 x 3 x 5 x 23
Step 2: Find the prime factorization of 3113
3113 = 11 x 283
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9665865 = 3 x 3 x 3 x 5 x 11 x 23 x 283
Step 4: Therefore, the least common multiple of 3105 and 3113 is 9665865.