Least Common Multiple of 2574 and 2581
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2574 and 2581 the smallest integer that is 6643494 that is divisible by both numbers.
Least Common Multiple (LCM) of 2574 and 2581 is 6643494.
LCM(2574,2581) = 6643494
LCM of 2574 and 2581
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2574 and 2581 by Prime method
- Least Common Multiple of 2574 and 2581 with GCF Formula
LCM of 2574 and 2581 is 6643494
Least common multiple can be found by multiplying the highest exponent prime factors of 2574 and 2581. First we will calculate the prime factors of 2574 and 2581.
Prime Factorization of 2574
| 2 | 2574 |
| 3 | 1287 |
| 3 | 429 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 2574 are 2, 3, 11,13. Prime factorization of 2574 in exponential form is:
2574 = 21×32×111×131
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2574 and 2581.
LCM(2574,2581) = 21×32×111×131×291×891
LCM(2574,2581) = 6643494
Factors of 2574
List of positive integer factors of 2574 that divides 2574 without a remainder.
1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 33, 39, 66, 78, 99, 117, 143, 198, 234, 286, 429, 858, 1287, 2574
Factors of 2581
List of positive integer factors of 2581 that divides 2581 without a remainder.
1, 29, 89, 2581
Least Common Multiple of 2574 and 2581 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2574 and 2581, than apply into the LCM equation.
GCF(2574,2581) = 1
LCM(2574,2581) = ( 2574 × 2581) / 1
LCM(2574,2581) = 6643494 / 1
LCM(2574,2581) = 6643494
Properties of LCM 2574 and 2581
(i) The LCM of 2581 and 2574 is associative
LCM of 2574 and 2581 = LCM of 2581 and 2574
Related Least Common Multiples of 2574
Related Least Common Multiples of 2581
Frequently Asked Questions on LCM of 2574 and 2581
1. What is the LCM of 2574 and 2581?
Answer: LCM of 2574 and 2581 is 6643494.
2. What are the Factors of 2574?
Answer: Factors of 2574 are 1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 33, 39, 66, 78, 99, 117, 143, 198, 234, 286, 429, 858, 1287, 2574. There are 24 integers that are factors of 2574. The greatest factor of 2574 is 2574.
3. 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.
4. How to Find the LCM of 2574 and 2581?
Answer:
Least Common Multiple of 2574 and 2581 = 6643494
Step 1: Find the prime factorization of 2574
2574 = 2 x 3 x 3 x 11 x 13
Step 2: Find the prime factorization of 2581
2581 = 29 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6643494 = 2 x 3 x 3 x 11 x 13 x 29 x 89
Step 4: Therefore, the least common multiple of 2574 and 2581 is 6643494.