Least Common Multiple of 2569 and 2575
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2569 and 2575 the smallest integer that is 6615175 that is divisible by both numbers.
Least Common Multiple (LCM) of 2569 and 2575 is 6615175.
LCM(2569,2575) = 6615175
LCM of 2569 and 2575
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2569 and 2575 by Prime method
- Least Common Multiple of 2569 and 2575 with GCF Formula
LCM of 2569 and 2575 is 6615175
Least common multiple can be found by multiplying the highest exponent prime factors of 2569 and 2575. First we will calculate the prime factors of 2569 and 2575.
Prime Factorization of 2569
| 7 | 2569 |
| 367 | 367 |
| 1 |
Prime factors of 2569 are 7,367. Prime factorization of 2569 in exponential form is:
2569 = 71×3671
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2569 and 2575.
LCM(2569,2575) = 52×71×1031×3671
LCM(2569,2575) = 6615175
Factors of 2569
List of positive integer factors of 2569 that divides 2569 without a remainder.
1, 7, 367, 2569
Factors of 2575
List of positive integer factors of 2575 that divides 2575 without a remainder.
1, 5, 25, 103, 515, 2575
Least Common Multiple of 2569 and 2575 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2569 and 2575, than apply into the LCM equation.
GCF(2569,2575) = 1
LCM(2569,2575) = ( 2569 × 2575) / 1
LCM(2569,2575) = 6615175 / 1
LCM(2569,2575) = 6615175
Properties of LCM 2569 and 2575
(i) The LCM of 2575 and 2569 is associative
LCM of 2569 and 2575 = LCM of 2575 and 2569
Related Least Common Multiples of 2569
Related Least Common Multiples of 2575
Frequently Asked Questions on LCM of 2569 and 2575
1. What is the LCM of 2569 and 2575?
Answer: LCM of 2569 and 2575 is 6615175.
2. What are the Factors of 2569?
Answer: Factors of 2569 are 1, 7, 367, 2569. There are 4 integers that are factors of 2569. The greatest factor of 2569 is 2569.
3. 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.
4. How to Find the LCM of 2569 and 2575?
Answer:
Least Common Multiple of 2569 and 2575 = 6615175
Step 1: Find the prime factorization of 2569
2569 = 7 x 367
Step 2: Find the prime factorization of 2575
2575 = 5 x 5 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6615175 = 5 x 5 x 7 x 103 x 367
Step 4: Therefore, the least common multiple of 2569 and 2575 is 6615175.