Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2571 and 2572 the smallest integer that is 6612612 that is divisible by both numbers.
Least Common Multiple (LCM) of 2571 and 2572 is 6612612.
LCM(2571,2572) = 6612612
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 2571 and 2572. First we will calculate the prime factors of 2571 and 2572.
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
Prime Factorization of 2572
2 | 2572 |
2 | 1286 |
643 | 643 |
1 |
Prime factors of 2572 are 2,643. Prime factorization of 2572 in exponential form is:
2572 = 22×6431
Now multiplying the highest exponent prime factors to calculate the LCM of 2571 and 2572.
LCM(2571,2572) = 22×31×6431×8571
LCM(2571,2572) = 6612612
Factors of 2571
List of positive integer factors of 2571 that divides 2571 without a remainder.
1, 3, 857, 2571
Factors of 2572
List of positive integer factors of 2572 that divides 2572 without a remainder.
1, 2, 4, 643, 1286, 2572
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2571 and 2572, than apply into the LCM equation.
GCF(2571,2572) = 1
LCM(2571,2572) = ( 2571 × 2572) / 1
LCM(2571,2572) = 6612612 / 1
LCM(2571,2572) = 6612612
(i) The LCM of 2572 and 2571 is associative
LCM of 2571 and 2572 = LCM of 2572 and 2571
1. What is the LCM of 2571 and 2572?
Answer: LCM of 2571 and 2572 is 6612612.
2. 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.
3. What are the Factors of 2572?
Answer: Factors of 2572 are 1, 2, 4, 643, 1286, 2572. There are 6 integers that are factors of 2572. The greatest factor of 2572 is 2572.
4. How to Find the LCM of 2571 and 2572?
Answer:
Least Common Multiple of 2571 and 2572 = 6612612
Step 1: Find the prime factorization of 2571
2571 = 3 x 857
Step 2: Find the prime factorization of 2572
2572 = 2 x 2 x 643
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6612612 = 2 x 2 x 3 x 643 x 857
Step 4: Therefore, the least common multiple of 2571 and 2572 is 6612612.