Least Common Multiple of 5287 and 5289
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5287 and 5289 the smallest integer that is 27962943 that is divisible by both numbers.
Least Common Multiple (LCM) of 5287 and 5289 is 27962943.
LCM(5287,5289) = 27962943
LCM of 5287 and 5289
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5287 and 5289 by Prime method
- Least Common Multiple of 5287 and 5289 with GCF Formula
LCM of 5287 and 5289 is 27962943
Least common multiple can be found by multiplying the highest exponent prime factors of 5287 and 5289. First we will calculate the prime factors of 5287 and 5289.
Prime Factorization of 5287
| 17 | 5287 |
| 311 | 311 |
| 1 |
Prime factors of 5287 are 17,311. Prime factorization of 5287 in exponential form is:
5287 = 171×3111
Prime Factorization of 5289
| 3 | 5289 |
| 41 | 1763 |
| 43 | 43 |
| 1 |
Prime factors of 5289 are 3, 41,43. Prime factorization of 5289 in exponential form is:
5289 = 31×411×431
Now multiplying the highest exponent prime factors to calculate the LCM of 5287 and 5289.
LCM(5287,5289) = 31×171×411×431×3111
LCM(5287,5289) = 27962943
Factors of 5287
List of positive integer factors of 5287 that divides 5287 without a remainder.
1, 17, 311, 5287
Factors of 5289
List of positive integer factors of 5289 that divides 5289 without a remainder.
1, 3, 41, 43, 123, 129, 1763, 5289
Least Common Multiple of 5287 and 5289 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5287 and 5289, than apply into the LCM equation.
GCF(5287,5289) = 1
LCM(5287,5289) = ( 5287 × 5289) / 1
LCM(5287,5289) = 27962943 / 1
LCM(5287,5289) = 27962943
Properties of LCM 5287 and 5289
(i) The LCM of 5289 and 5287 is associative
LCM of 5287 and 5289 = LCM of 5289 and 5287
Related Least Common Multiples of 5287
Related Least Common Multiples of 5289
Frequently Asked Questions on LCM of 5287 and 5289
1. What is the LCM of 5287 and 5289?
Answer: LCM of 5287 and 5289 is 27962943.
2. What are the Factors of 5287?
Answer: Factors of 5287 are 1, 17, 311, 5287. There are 4 integers that are factors of 5287. The greatest factor of 5287 is 5287.
3. What are the Factors of 5289?
Answer: Factors of 5289 are 1, 3, 41, 43, 123, 129, 1763, 5289. There are 8 integers that are factors of 5289. The greatest factor of 5289 is 5289.
4. How to Find the LCM of 5287 and 5289?
Answer:
Least Common Multiple of 5287 and 5289 = 27962943
Step 1: Find the prime factorization of 5287
5287 = 17 x 311
Step 2: Find the prime factorization of 5289
5289 = 3 x 41 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27962943 = 3 x 17 x 41 x 43 x 311
Step 4: Therefore, the least common multiple of 5287 and 5289 is 27962943.