Least Common Multiple of 3107 and 3115
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3107 and 3115 the smallest integer that is 9678305 that is divisible by both numbers.
Least Common Multiple (LCM) of 3107 and 3115 is 9678305.
LCM(3107,3115) = 9678305
LCM of 3107 and 3115
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3107 and 3115 by Prime method
- Least Common Multiple of 3107 and 3115 with GCF Formula
LCM of 3107 and 3115 is 9678305
Least common multiple can be found by multiplying the highest exponent prime factors of 3107 and 3115. First we will calculate the prime factors of 3107 and 3115.
Prime Factorization of 3107
| 13 | 3107 |
| 239 | 239 |
| 1 |
Prime factors of 3107 are 13,239. Prime factorization of 3107 in exponential form is:
3107 = 131×2391
Prime Factorization of 3115
| 5 | 3115 |
| 7 | 623 |
| 89 | 89 |
| 1 |
Prime factors of 3115 are 5, 7,89. Prime factorization of 3115 in exponential form is:
3115 = 51×71×891
Now multiplying the highest exponent prime factors to calculate the LCM of 3107 and 3115.
LCM(3107,3115) = 51×71×131×891×2391
LCM(3107,3115) = 9678305
Factors of 3107
List of positive integer factors of 3107 that divides 3107 without a remainder.
1, 13, 239, 3107
Factors of 3115
List of positive integer factors of 3115 that divides 3115 without a remainder.
1, 5, 7, 35, 89, 445, 623, 3115
Least Common Multiple of 3107 and 3115 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3107 and 3115, than apply into the LCM equation.
GCF(3107,3115) = 1
LCM(3107,3115) = ( 3107 × 3115) / 1
LCM(3107,3115) = 9678305 / 1
LCM(3107,3115) = 9678305
Properties of LCM 3107 and 3115
(i) The LCM of 3115 and 3107 is associative
LCM of 3107 and 3115 = LCM of 3115 and 3107
Related Least Common Multiples of 3107
Related Least Common Multiples of 3115
Frequently Asked Questions on LCM of 3107 and 3115
1. What is the LCM of 3107 and 3115?
Answer: LCM of 3107 and 3115 is 9678305.
2. What are the Factors of 3107?
Answer: Factors of 3107 are 1, 13, 239, 3107. There are 4 integers that are factors of 3107. The greatest factor of 3107 is 3107.
3. What are the Factors of 3115?
Answer: Factors of 3115 are 1, 5, 7, 35, 89, 445, 623, 3115. There are 8 integers that are factors of 3115. The greatest factor of 3115 is 3115.
4. How to Find the LCM of 3107 and 3115?
Answer:
Least Common Multiple of 3107 and 3115 = 9678305
Step 1: Find the prime factorization of 3107
3107 = 13 x 239
Step 2: Find the prime factorization of 3115
3115 = 5 x 7 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9678305 = 5 x 7 x 13 x 89 x 239
Step 4: Therefore, the least common multiple of 3107 and 3115 is 9678305.