Least Common Multiple of 5587 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 5587 and 5593 the smallest integer that is 31248091 that is divisible by both numbers.
Least Common Multiple (LCM) of 5587 and 5593 is 31248091.
LCM(5587,5593) = 31248091
LCM of 5587 and 5593
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5587 and 5593 by Prime method
- Least Common Multiple of 5587 and 5593 with GCF Formula
LCM of 5587 and 5593 is 31248091
Least common multiple can be found by multiplying the highest exponent prime factors of 5587 and 5593. First we will calculate the prime factors of 5587 and 5593.
Prime Factorization of 5587
| 37 | 5587 |
| 151 | 151 |
| 1 |
Prime factors of 5587 are 37,151. Prime factorization of 5587 in exponential form is:
5587 = 371×1511
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 5587 and 5593.
LCM(5587,5593) = 71×171×371×471×1511
LCM(5587,5593) = 31248091
Factors of 5587
List of positive integer factors of 5587 that divides 5587 without a remainder.
1, 37, 151, 5587
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 5587 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 5587 and 5593, than apply into the LCM equation.
GCF(5587,5593) = 1
LCM(5587,5593) = ( 5587 × 5593) / 1
LCM(5587,5593) = 31248091 / 1
LCM(5587,5593) = 31248091
Properties of LCM 5587 and 5593
(i) The LCM of 5593 and 5587 is associative
LCM of 5587 and 5593 = LCM of 5593 and 5587
Related Least Common Multiples of 5587
Related Least Common Multiples of 5593
Frequently Asked Questions on LCM of 5587 and 5593
1. What is the LCM of 5587 and 5593?
Answer: LCM of 5587 and 5593 is 31248091.
2. What are the Factors of 5587?
Answer: Factors of 5587 are 1, 37, 151, 5587. There are 4 integers that are factors of 5587. The greatest factor of 5587 is 5587.
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 5587 and 5593?
Answer:
Least Common Multiple of 5587 and 5593 = 31248091
Step 1: Find the prime factorization of 5587
5587 = 37 x 151
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 = 31248091 = 7 x 17 x 37 x 47 x 151
Step 4: Therefore, the least common multiple of 5587 and 5593 is 31248091.