Least Common Multiple of 2583 and 2587
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2583 and 2587 the smallest integer that is 6682221 that is divisible by both numbers.
Least Common Multiple (LCM) of 2583 and 2587 is 6682221.
LCM(2583,2587) = 6682221
LCM of 2583 and 2587
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2583 and 2587 by Prime method
- Least Common Multiple of 2583 and 2587 with GCF Formula
LCM of 2583 and 2587 is 6682221
Least common multiple can be found by multiplying the highest exponent prime factors of 2583 and 2587. First we will calculate the prime factors of 2583 and 2587.
Prime Factorization of 2583
| 3 | 2583 |
| 3 | 861 |
| 7 | 287 |
| 41 | 41 |
| 1 |
Prime factors of 2583 are 3, 7,41. Prime factorization of 2583 in exponential form is:
2583 = 32×71×411
Prime Factorization of 2587
| 13 | 2587 |
| 199 | 199 |
| 1 |
Prime factors of 2587 are 13,199. Prime factorization of 2587 in exponential form is:
2587 = 131×1991
Now multiplying the highest exponent prime factors to calculate the LCM of 2583 and 2587.
LCM(2583,2587) = 32×71×131×411×1991
LCM(2583,2587) = 6682221
Factors of 2583
List of positive integer factors of 2583 that divides 2583 without a remainder.
1, 3, 7, 9, 21, 41, 63, 123, 287, 369, 861, 2583
Factors of 2587
List of positive integer factors of 2587 that divides 2587 without a remainder.
1, 13, 199, 2587
Least Common Multiple of 2583 and 2587 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2583 and 2587, than apply into the LCM equation.
GCF(2583,2587) = 1
LCM(2583,2587) = ( 2583 × 2587) / 1
LCM(2583,2587) = 6682221 / 1
LCM(2583,2587) = 6682221
Properties of LCM 2583 and 2587
(i) The LCM of 2587 and 2583 is associative
LCM of 2583 and 2587 = LCM of 2587 and 2583
Related Least Common Multiples of 2583
Related Least Common Multiples of 2587
Frequently Asked Questions on LCM of 2583 and 2587
1. What is the LCM of 2583 and 2587?
Answer: LCM of 2583 and 2587 is 6682221.
2. What are the Factors of 2583?
Answer: Factors of 2583 are 1, 3, 7, 9, 21, 41, 63, 123, 287, 369, 861, 2583. There are 12 integers that are factors of 2583. The greatest factor of 2583 is 2583.
3. What are the Factors of 2587?
Answer: Factors of 2587 are 1, 13, 199, 2587. There are 4 integers that are factors of 2587. The greatest factor of 2587 is 2587.
4. How to Find the LCM of 2583 and 2587?
Answer:
Least Common Multiple of 2583 and 2587 = 6682221
Step 1: Find the prime factorization of 2583
2583 = 3 x 3 x 7 x 41
Step 2: Find the prime factorization of 2587
2587 = 13 x 199
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6682221 = 3 x 3 x 7 x 13 x 41 x 199
Step 4: Therefore, the least common multiple of 2583 and 2587 is 6682221.