Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2581 and 2589 the smallest integer that is 6682209 that is divisible by both numbers.
Least Common Multiple (LCM) of 2581 and 2589 is 6682209.
LCM(2581,2589) = 6682209
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2581 and 2589. First we will calculate the prime factors of 2581 and 2589.
Prime Factorization of 2581
29 | 2581 |
89 | 89 |
1 |
Prime factors of 2581 are 29,89. Prime factorization of 2581 in exponential form is:
2581 = 291×891
Prime Factorization of 2589
3 | 2589 |
863 | 863 |
1 |
Prime factors of 2589 are 3,863. Prime factorization of 2589 in exponential form is:
2589 = 31×8631
Now multiplying the highest exponent prime factors to calculate the LCM of 2581 and 2589.
LCM(2581,2589) = 31×291×891×8631
LCM(2581,2589) = 6682209
Factors of 2581
List of positive integer factors of 2581 that divides 2581 without a remainder.
1, 29, 89, 2581
Factors of 2589
List of positive integer factors of 2589 that divides 2589 without a remainder.
1, 3, 863, 2589
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2581 and 2589, than apply into the LCM equation.
GCF(2581,2589) = 1
LCM(2581,2589) = ( 2581 × 2589) / 1
LCM(2581,2589) = 6682209 / 1
LCM(2581,2589) = 6682209
(i) The LCM of 2589 and 2581 is associative
LCM of 2581 and 2589 = LCM of 2589 and 2581
1. What is the LCM of 2581 and 2589?
Answer: LCM of 2581 and 2589 is 6682209.
2. What are the Factors of 2581?
Answer: Factors of 2581 are 1, 29, 89, 2581. There are 4 integers that are factors of 2581. The greatest factor of 2581 is 2581.
3. What are the Factors of 2589?
Answer: Factors of 2589 are 1, 3, 863, 2589. There are 4 integers that are factors of 2589. The greatest factor of 2589 is 2589.
4. How to Find the LCM of 2581 and 2589?
Answer:
Least Common Multiple of 2581 and 2589 = 6682209
Step 1: Find the prime factorization of 2581
2581 = 29 x 89
Step 2: Find the prime factorization of 2589
2589 = 3 x 863
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6682209 = 3 x 29 x 89 x 863
Step 4: Therefore, the least common multiple of 2581 and 2589 is 6682209.