Least Common Multiple of 2585 and 2593
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2585 and 2593 the smallest integer that is 6702905 that is divisible by both numbers.
Least Common Multiple (LCM) of 2585 and 2593 is 6702905.
LCM(2585,2593) = 6702905
LCM of 2585 and 2593
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2585 and 2593 by Prime method
- Least Common Multiple of 2585 and 2593 with GCF Formula
LCM of 2585 and 2593 is 6702905
Least common multiple can be found by multiplying the highest exponent prime factors of 2585 and 2593. First we will calculate the prime factors of 2585 and 2593.
Prime Factorization of 2585
| 5 | 2585 |
| 11 | 517 |
| 47 | 47 |
| 1 |
Prime factors of 2585 are 5, 11,47. Prime factorization of 2585 in exponential form is:
2585 = 51×111×471
Prime Factorization of 2593
| 2593 | 2593 |
| 1 |
Prime factors of 2593 are 2593. Prime factorization of 2593 in exponential form is:
2593 = 25931
Now multiplying the highest exponent prime factors to calculate the LCM of 2585 and 2593.
LCM(2585,2593) = 51×111×471×25931
LCM(2585,2593) = 6702905
Factors of 2585
List of positive integer factors of 2585 that divides 2585 without a remainder.
1, 5, 11, 47, 55, 235, 517, 2585
Factors of 2593
List of positive integer factors of 2593 that divides 2593 without a remainder.
1, 2593
Least Common Multiple of 2585 and 2593 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2585 and 2593, than apply into the LCM equation.
GCF(2585,2593) = 1
LCM(2585,2593) = ( 2585 × 2593) / 1
LCM(2585,2593) = 6702905 / 1
LCM(2585,2593) = 6702905
Properties of LCM 2585 and 2593
(i) The LCM of 2593 and 2585 is associative
LCM of 2585 and 2593 = LCM of 2593 and 2585
Related Least Common Multiples of 2585
Related Least Common Multiples of 2593
Frequently Asked Questions on LCM of 2585 and 2593
1. What is the LCM of 2585 and 2593?
Answer: LCM of 2585 and 2593 is 6702905.
2. What are the Factors of 2585?
Answer: Factors of 2585 are 1, 5, 11, 47, 55, 235, 517, 2585. There are 8 integers that are factors of 2585. The greatest factor of 2585 is 2585.
3. What are the Factors of 2593?
Answer: Factors of 2593 are 1, 2593. There are 2 integers that are factors of 2593. The greatest factor of 2593 is 2593.
4. How to Find the LCM of 2585 and 2593?
Answer:
Least Common Multiple of 2585 and 2593 = 6702905
Step 1: Find the prime factorization of 2585
2585 = 5 x 11 x 47
Step 2: Find the prime factorization of 2593
2593 = 2593
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6702905 = 5 x 11 x 47 x 2593
Step 4: Therefore, the least common multiple of 2585 and 2593 is 6702905.