Least Common Multiple of 5589 and 5593
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5589 and 5593 the smallest integer that is 31259277 that is divisible by both numbers.
Least Common Multiple (LCM) of 5589 and 5593 is 31259277.
LCM(5589,5593) = 31259277
LCM of 5589 and 5593
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5589 and 5593 by Prime method
- Least Common Multiple of 5589 and 5593 with GCF Formula
LCM of 5589 and 5593 is 31259277
Least common multiple can be found by multiplying the highest exponent prime factors of 5589 and 5593. First we will calculate the prime factors of 5589 and 5593.
Prime Factorization of 5589
| 3 | 5589 |
| 3 | 1863 |
| 3 | 621 |
| 3 | 207 |
| 3 | 69 |
| 23 | 23 |
| 1 |
Prime factors of 5589 are 3,23. Prime factorization of 5589 in exponential form is:
5589 = 35×231
Prime Factorization of 5593
| 7 | 5593 |
| 17 | 799 |
| 47 | 47 |
| 1 |
Prime factors of 5593 are 7, 17,47. Prime factorization of 5593 in exponential form is:
5593 = 71×171×471
Now multiplying the highest exponent prime factors to calculate the LCM of 5589 and 5593.
LCM(5589,5593) = 35×71×171×231×471
LCM(5589,5593) = 31259277
Factors of 5589
List of positive integer factors of 5589 that divides 5589 without a remainder.
1, 3, 9, 23, 27, 69, 81, 207, 243, 621, 1863, 5589
Factors of 5593
List of positive integer factors of 5593 that divides 5593 without a remainder.
1, 7, 17, 47, 119, 329, 799, 5593
Least Common Multiple of 5589 and 5593 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5589 and 5593, than apply into the LCM equation.
GCF(5589,5593) = 1
LCM(5589,5593) = ( 5589 × 5593) / 1
LCM(5589,5593) = 31259277 / 1
LCM(5589,5593) = 31259277
Properties of LCM 5589 and 5593
(i) The LCM of 5593 and 5589 is associative
LCM of 5589 and 5593 = LCM of 5593 and 5589
Related Least Common Multiples of 5589
Related Least Common Multiples of 5593
Frequently Asked Questions on LCM of 5589 and 5593
1. What is the LCM of 5589 and 5593?
Answer: LCM of 5589 and 5593 is 31259277.
2. What are the Factors of 5589?
Answer: Factors of 5589 are 1, 3, 9, 23, 27, 69, 81, 207, 243, 621, 1863, 5589. There are 12 integers that are factors of 5589. The greatest factor of 5589 is 5589.
3. What are the Factors of 5593?
Answer: Factors of 5593 are 1, 7, 17, 47, 119, 329, 799, 5593. There are 8 integers that are factors of 5593. The greatest factor of 5593 is 5593.
4. How to Find the LCM of 5589 and 5593?
Answer:
Least Common Multiple of 5589 and 5593 = 31259277
Step 1: Find the prime factorization of 5589
5589 = 3 x 3 x 3 x 3 x 3 x 23
Step 2: Find the prime factorization of 5593
5593 = 7 x 17 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31259277 = 3 x 3 x 3 x 3 x 3 x 7 x 17 x 23 x 47
Step 4: Therefore, the least common multiple of 5589 and 5593 is 31259277.