Least Common Multiple of 3103 and 3111
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 3111 the smallest integer that is 9653433 that is divisible by both numbers.
Least Common Multiple (LCM) of 3103 and 3111 is 9653433.
LCM(3103,3111) = 9653433
LCM of 3103 and 3111
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3103 and 3111 by Prime method
- Least Common Multiple of 3103 and 3111 with GCF Formula
LCM of 3103 and 3111 is 9653433
Least common multiple can be found by multiplying the highest exponent prime factors of 3103 and 3111. First we will calculate the prime factors of 3103 and 3111.
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 3111
| 3 | 3111 |
| 17 | 1037 |
| 61 | 61 |
| 1 |
Prime factors of 3111 are 3, 17,61. Prime factorization of 3111 in exponential form is:
3111 = 31×171×611
Now multiplying the highest exponent prime factors to calculate the LCM of 3103 and 3111.
LCM(3103,3111) = 31×171×291×611×1071
LCM(3103,3111) = 9653433
Factors of 3103
List of positive integer factors of 3103 that divides 3103 without a remainder.
1, 29, 107, 3103
Factors of 3111
List of positive integer factors of 3111 that divides 3111 without a remainder.
1, 3, 17, 51, 61, 183, 1037, 3111
Least Common Multiple of 3103 and 3111 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 3111, than apply into the LCM equation.
GCF(3103,3111) = 1
LCM(3103,3111) = ( 3103 × 3111) / 1
LCM(3103,3111) = 9653433 / 1
LCM(3103,3111) = 9653433
Properties of LCM 3103 and 3111
(i) The LCM of 3111 and 3103 is associative
LCM of 3103 and 3111 = LCM of 3111 and 3103
Related Least Common Multiples of 3103
Related Least Common Multiples of 3111
Frequently Asked Questions on LCM of 3103 and 3111
1. What is the LCM of 3103 and 3111?
Answer: LCM of 3103 and 3111 is 9653433.
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 3111?
Answer: Factors of 3111 are 1, 3, 17, 51, 61, 183, 1037, 3111. There are 8 integers that are factors of 3111. The greatest factor of 3111 is 3111.
4. How to Find the LCM of 3103 and 3111?
Answer:
Least Common Multiple of 3103 and 3111 = 9653433
Step 1: Find the prime factorization of 3103
3103 = 29 x 107
Step 2: Find the prime factorization of 3111
3111 = 3 x 17 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9653433 = 3 x 17 x 29 x 61 x 107
Step 4: Therefore, the least common multiple of 3103 and 3111 is 9653433.