Least Common Multiple of 3103 and 3107
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3103 and 3107 the smallest integer that is 9641021 that is divisible by both numbers.
Least Common Multiple (LCM) of 3103 and 3107 is 9641021.
LCM(3103,3107) = 9641021
LCM of 3103 and 3107
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3103 and 3107 by Prime method
- Least Common Multiple of 3103 and 3107 with GCF Formula
LCM of 3103 and 3107 is 9641021
Least common multiple can be found by multiplying the highest exponent prime factors of 3103 and 3107. First we will calculate the prime factors of 3103 and 3107.
Prime Factorization of 3103
| 29 | 3103 |
| 107 | 107 |
| 1 |
Prime factors of 3103 are 29,107. Prime factorization of 3103 in exponential form is:
3103 = 291×1071
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3103 and 3107.
LCM(3103,3107) = 131×291×1071×2391
LCM(3103,3107) = 9641021
Factors of 3103
List of positive integer factors of 3103 that divides 3103 without a remainder.
1, 29, 107, 3103
Factors of 3107
List of positive integer factors of 3107 that divides 3107 without a remainder.
1, 13, 239, 3107
Least Common Multiple of 3103 and 3107 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3103 and 3107, than apply into the LCM equation.
GCF(3103,3107) = 1
LCM(3103,3107) = ( 3103 × 3107) / 1
LCM(3103,3107) = 9641021 / 1
LCM(3103,3107) = 9641021
Properties of LCM 3103 and 3107
(i) The LCM of 3107 and 3103 is associative
LCM of 3103 and 3107 = LCM of 3107 and 3103
Related Least Common Multiples of 3103
Related Least Common Multiples of 3107
Frequently Asked Questions on LCM of 3103 and 3107
1. What is the LCM of 3103 and 3107?
Answer: LCM of 3103 and 3107 is 9641021.
2. What are the Factors of 3103?
Answer: Factors of 3103 are 1, 29, 107, 3103. There are 4 integers that are factors of 3103. The greatest factor of 3103 is 3103.
3. 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.
4. How to Find the LCM of 3103 and 3107?
Answer:
Least Common Multiple of 3103 and 3107 = 9641021
Step 1: Find the prime factorization of 3103
3103 = 29 x 107
Step 2: Find the prime factorization of 3107
3107 = 13 x 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9641021 = 13 x 29 x 107 x 239
Step 4: Therefore, the least common multiple of 3103 and 3107 is 9641021.