Least Common Multiple of 2563 and 2571
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2563 and 2571 the smallest integer that is 6589473 that is divisible by both numbers.
Least Common Multiple (LCM) of 2563 and 2571 is 6589473.
LCM(2563,2571) = 6589473
LCM of 2563 and 2571
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2563 and 2571 by Prime method
- Least Common Multiple of 2563 and 2571 with GCF Formula
LCM of 2563 and 2571 is 6589473
Least common multiple can be found by multiplying the highest exponent prime factors of 2563 and 2571. First we will calculate the prime factors of 2563 and 2571.
Prime Factorization of 2563
| 11 | 2563 |
| 233 | 233 |
| 1 |
Prime factors of 2563 are 11,233. Prime factorization of 2563 in exponential form is:
2563 = 111×2331
Prime Factorization of 2571
| 3 | 2571 |
| 857 | 857 |
| 1 |
Prime factors of 2571 are 3,857. Prime factorization of 2571 in exponential form is:
2571 = 31×8571
Now multiplying the highest exponent prime factors to calculate the LCM of 2563 and 2571.
LCM(2563,2571) = 31×111×2331×8571
LCM(2563,2571) = 6589473
Factors of 2563
List of positive integer factors of 2563 that divides 2563 without a remainder.
1, 11, 233, 2563
Factors of 2571
List of positive integer factors of 2571 that divides 2571 without a remainder.
1, 3, 857, 2571
Least Common Multiple of 2563 and 2571 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2563 and 2571, than apply into the LCM equation.
GCF(2563,2571) = 1
LCM(2563,2571) = ( 2563 × 2571) / 1
LCM(2563,2571) = 6589473 / 1
LCM(2563,2571) = 6589473
Properties of LCM 2563 and 2571
(i) The LCM of 2571 and 2563 is associative
LCM of 2563 and 2571 = LCM of 2571 and 2563
Related Least Common Multiples of 2563
Related Least Common Multiples of 2571
Frequently Asked Questions on LCM of 2563 and 2571
1. What is the LCM of 2563 and 2571?
Answer: LCM of 2563 and 2571 is 6589473.
2. What are the Factors of 2563?
Answer: Factors of 2563 are 1, 11, 233, 2563. There are 4 integers that are factors of 2563. The greatest factor of 2563 is 2563.
3. What are the Factors of 2571?
Answer: Factors of 2571 are 1, 3, 857, 2571. There are 4 integers that are factors of 2571. The greatest factor of 2571 is 2571.
4. How to Find the LCM of 2563 and 2571?
Answer:
Least Common Multiple of 2563 and 2571 = 6589473
Step 1: Find the prime factorization of 2563
2563 = 11 x 233
Step 2: Find the prime factorization of 2571
2571 = 3 x 857
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6589473 = 3 x 11 x 233 x 857
Step 4: Therefore, the least common multiple of 2563 and 2571 is 6589473.