Least Common Multiple of 5083 and 5089
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5083 and 5089 the smallest integer that is 25867387 that is divisible by both numbers.
Least Common Multiple (LCM) of 5083 and 5089 is 25867387.
LCM(5083,5089) = 25867387
LCM of 5083 and 5089
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5083 and 5089 by Prime method
- Least Common Multiple of 5083 and 5089 with GCF Formula
LCM of 5083 and 5089 is 25867387
Least common multiple can be found by multiplying the highest exponent prime factors of 5083 and 5089. First we will calculate the prime factors of 5083 and 5089.
Prime Factorization of 5083
| 13 | 5083 |
| 17 | 391 |
| 23 | 23 |
| 1 |
Prime factors of 5083 are 13, 17,23. Prime factorization of 5083 in exponential form is:
5083 = 131×171×231
Prime Factorization of 5089
| 7 | 5089 |
| 727 | 727 |
| 1 |
Prime factors of 5089 are 7,727. Prime factorization of 5089 in exponential form is:
5089 = 71×7271
Now multiplying the highest exponent prime factors to calculate the LCM of 5083 and 5089.
LCM(5083,5089) = 71×131×171×231×7271
LCM(5083,5089) = 25867387
Factors of 5083
List of positive integer factors of 5083 that divides 5083 without a remainder.
1, 13, 17, 23, 221, 299, 391, 5083
Factors of 5089
List of positive integer factors of 5089 that divides 5089 without a remainder.
1, 7, 727, 5089
Least Common Multiple of 5083 and 5089 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5083 and 5089, than apply into the LCM equation.
GCF(5083,5089) = 1
LCM(5083,5089) = ( 5083 × 5089) / 1
LCM(5083,5089) = 25867387 / 1
LCM(5083,5089) = 25867387
Properties of LCM 5083 and 5089
(i) The LCM of 5089 and 5083 is associative
LCM of 5083 and 5089 = LCM of 5089 and 5083
Related Least Common Multiples of 5083
Related Least Common Multiples of 5089
Frequently Asked Questions on LCM of 5083 and 5089
1. What is the LCM of 5083 and 5089?
Answer: LCM of 5083 and 5089 is 25867387.
2. What are the Factors of 5083?
Answer: Factors of 5083 are 1, 13, 17, 23, 221, 299, 391, 5083. There are 8 integers that are factors of 5083. The greatest factor of 5083 is 5083.
3. What are the Factors of 5089?
Answer: Factors of 5089 are 1, 7, 727, 5089. There are 4 integers that are factors of 5089. The greatest factor of 5089 is 5089.
4. How to Find the LCM of 5083 and 5089?
Answer:
Least Common Multiple of 5083 and 5089 = 25867387
Step 1: Find the prime factorization of 5083
5083 = 13 x 17 x 23
Step 2: Find the prime factorization of 5089
5089 = 7 x 727
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25867387 = 7 x 13 x 17 x 23 x 727
Step 4: Therefore, the least common multiple of 5083 and 5089 is 25867387.