Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2564 and 2571 the smallest integer that is 6592044 that is divisible by both numbers.
Least Common Multiple (LCM) of 2564 and 2571 is 6592044.
LCM(2564,2571) = 6592044
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 2564 and 2571. First we will calculate the prime factors of 2564 and 2571.
Prime Factorization of 2564
2 | 2564 |
2 | 1282 |
641 | 641 |
1 |
Prime factors of 2564 are 2,641. Prime factorization of 2564 in exponential form is:
2564 = 22×6411
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 2564 and 2571.
LCM(2564,2571) = 22×31×6411×8571
LCM(2564,2571) = 6592044
Factors of 2564
List of positive integer factors of 2564 that divides 2564 without a remainder.
1, 2, 4, 641, 1282, 2564
Factors of 2571
List of positive integer factors of 2571 that divides 2571 without a remainder.
1, 3, 857, 2571
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2564 and 2571, than apply into the LCM equation.
GCF(2564,2571) = 1
LCM(2564,2571) = ( 2564 × 2571) / 1
LCM(2564,2571) = 6592044 / 1
LCM(2564,2571) = 6592044
(i) The LCM of 2571 and 2564 is associative
LCM of 2564 and 2571 = LCM of 2571 and 2564
1. What is the LCM of 2564 and 2571?
Answer: LCM of 2564 and 2571 is 6592044.
2. What are the Factors of 2564?
Answer: Factors of 2564 are 1, 2, 4, 641, 1282, 2564. There are 6 integers that are factors of 2564. The greatest factor of 2564 is 2564.
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 2564 and 2571?
Answer:
Least Common Multiple of 2564 and 2571 = 6592044
Step 1: Find the prime factorization of 2564
2564 = 2 x 2 x 641
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 = 6592044 = 2 x 2 x 3 x 641 x 857
Step 4: Therefore, the least common multiple of 2564 and 2571 is 6592044.