Least Common Multiple of 2575 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 2575 and 2581 the smallest integer that is 6646075 that is divisible by both numbers.
Least Common Multiple (LCM) of 2575 and 2581 is 6646075.
LCM(2575,2581) = 6646075
LCM of 2575 and 2581
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2575 and 2581 by Prime method
- Least Common Multiple of 2575 and 2581 with GCF Formula
LCM of 2575 and 2581 is 6646075
Least common multiple can be found by multiplying the highest exponent prime factors of 2575 and 2581. First we will calculate the prime factors of 2575 and 2581.
Prime Factorization of 2575
| 5 | 2575 |
| 5 | 515 |
| 103 | 103 |
| 1 |
Prime factors of 2575 are 5,103. Prime factorization of 2575 in exponential form is:
2575 = 52×1031
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 2575 and 2581.
LCM(2575,2581) = 52×291×891×1031
LCM(2575,2581) = 6646075
Factors of 2575
List of positive integer factors of 2575 that divides 2575 without a remainder.
1, 5, 25, 103, 515, 2575
Factors of 2581
List of positive integer factors of 2581 that divides 2581 without a remainder.
1, 29, 89, 2581
Least Common Multiple of 2575 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 2575 and 2581, than apply into the LCM equation.
GCF(2575,2581) = 1
LCM(2575,2581) = ( 2575 × 2581) / 1
LCM(2575,2581) = 6646075 / 1
LCM(2575,2581) = 6646075
Properties of LCM 2575 and 2581
(i) The LCM of 2581 and 2575 is associative
LCM of 2575 and 2581 = LCM of 2581 and 2575
Related Least Common Multiples of 2575
Related Least Common Multiples of 2581
Frequently Asked Questions on LCM of 2575 and 2581
1. What is the LCM of 2575 and 2581?
Answer: LCM of 2575 and 2581 is 6646075.
2. What are the Factors of 2575?
Answer: Factors of 2575 are 1, 5, 25, 103, 515, 2575. There are 6 integers that are factors of 2575. The greatest factor of 2575 is 2575.
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 2575 and 2581?
Answer:
Least Common Multiple of 2575 and 2581 = 6646075
Step 1: Find the prime factorization of 2575
2575 = 5 x 5 x 103
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 = 6646075 = 5 x 5 x 29 x 89 x 103
Step 4: Therefore, the least common multiple of 2575 and 2581 is 6646075.