Least Common Multiple of 5593 and 5599
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5593 and 5599 the smallest integer that is 31315207 that is divisible by both numbers.
Least Common Multiple (LCM) of 5593 and 5599 is 31315207.
LCM(5593,5599) = 31315207
LCM of 5593 and 5599
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5593 and 5599 by Prime method
- Least Common Multiple of 5593 and 5599 with GCF Formula
LCM of 5593 and 5599 is 31315207
Least common multiple can be found by multiplying the highest exponent prime factors of 5593 and 5599. First we will calculate the prime factors of 5593 and 5599.
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
Prime Factorization of 5599
| 11 | 5599 |
| 509 | 509 |
| 1 |
Prime factors of 5599 are 11,509. Prime factorization of 5599 in exponential form is:
5599 = 111×5091
Now multiplying the highest exponent prime factors to calculate the LCM of 5593 and 5599.
LCM(5593,5599) = 71×111×171×471×5091
LCM(5593,5599) = 31315207
Factors of 5593
List of positive integer factors of 5593 that divides 5593 without a remainder.
1, 7, 17, 47, 119, 329, 799, 5593
Factors of 5599
List of positive integer factors of 5599 that divides 5599 without a remainder.
1, 11, 509, 5599
Least Common Multiple of 5593 and 5599 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5593 and 5599, than apply into the LCM equation.
GCF(5593,5599) = 1
LCM(5593,5599) = ( 5593 × 5599) / 1
LCM(5593,5599) = 31315207 / 1
LCM(5593,5599) = 31315207
Properties of LCM 5593 and 5599
(i) The LCM of 5599 and 5593 is associative
LCM of 5593 and 5599 = LCM of 5599 and 5593
Related Least Common Multiples of 5593
Related Least Common Multiples of 5599
Frequently Asked Questions on LCM of 5593 and 5599
1. What is the LCM of 5593 and 5599?
Answer: LCM of 5593 and 5599 is 31315207.
2. 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.
3. What are the Factors of 5599?
Answer: Factors of 5599 are 1, 11, 509, 5599. There are 4 integers that are factors of 5599. The greatest factor of 5599 is 5599.
4. How to Find the LCM of 5593 and 5599?
Answer:
Least Common Multiple of 5593 and 5599 = 31315207
Step 1: Find the prime factorization of 5593
5593 = 7 x 17 x 47
Step 2: Find the prime factorization of 5599
5599 = 11 x 509
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31315207 = 7 x 11 x 17 x 47 x 509
Step 4: Therefore, the least common multiple of 5593 and 5599 is 31315207.