Least Common Multiple of 5589 and 5597
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 5597 the smallest integer that is 31281633 that is divisible by both numbers.
Least Common Multiple (LCM) of 5589 and 5597 is 31281633.
LCM(5589,5597) = 31281633
LCM of 5589 and 5597
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5589 and 5597 by Prime method
- Least Common Multiple of 5589 and 5597 with GCF Formula
LCM of 5589 and 5597 is 31281633
Least common multiple can be found by multiplying the highest exponent prime factors of 5589 and 5597. First we will calculate the prime factors of 5589 and 5597.
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 5597
| 29 | 5597 |
| 193 | 193 |
| 1 |
Prime factors of 5597 are 29,193. Prime factorization of 5597 in exponential form is:
5597 = 291×1931
Now multiplying the highest exponent prime factors to calculate the LCM of 5589 and 5597.
LCM(5589,5597) = 35×231×291×1931
LCM(5589,5597) = 31281633
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 5597
List of positive integer factors of 5597 that divides 5597 without a remainder.
1, 29, 193, 5597
Least Common Multiple of 5589 and 5597 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 5597, than apply into the LCM equation.
GCF(5589,5597) = 1
LCM(5589,5597) = ( 5589 × 5597) / 1
LCM(5589,5597) = 31281633 / 1
LCM(5589,5597) = 31281633
Properties of LCM 5589 and 5597
(i) The LCM of 5597 and 5589 is associative
LCM of 5589 and 5597 = LCM of 5597 and 5589
Related Least Common Multiples of 5589
Related Least Common Multiples of 5597
Frequently Asked Questions on LCM of 5589 and 5597
1. What is the LCM of 5589 and 5597?
Answer: LCM of 5589 and 5597 is 31281633.
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 5597?
Answer: Factors of 5597 are 1, 29, 193, 5597. There are 4 integers that are factors of 5597. The greatest factor of 5597 is 5597.
4. How to Find the LCM of 5589 and 5597?
Answer:
Least Common Multiple of 5589 and 5597 = 31281633
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 5597
5597 = 29 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31281633 = 3 x 3 x 3 x 3 x 3 x 23 x 29 x 193
Step 4: Therefore, the least common multiple of 5589 and 5597 is 31281633.