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 2573 the smallest integer that is 6615183 that is divisible by both numbers.
Least Common Multiple (LCM) of 2571 and 2573 is 6615183.
LCM(2571,2573) = 6615183
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 2573. First we will calculate the prime factors of 2571 and 2573.
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 2573
31 | 2573 |
83 | 83 |
1 |
Prime factors of 2573 are 31,83. Prime factorization of 2573 in exponential form is:
2573 = 311×831
Now multiplying the highest exponent prime factors to calculate the LCM of 2571 and 2573.
LCM(2571,2573) = 31×311×831×8571
LCM(2571,2573) = 6615183
Factors of 2571
List of positive integer factors of 2571 that divides 2571 without a remainder.
1, 3, 857, 2571
Factors of 2573
List of positive integer factors of 2573 that divides 2573 without a remainder.
1, 31, 83, 2573
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2571 and 2573, than apply into the LCM equation.
GCF(2571,2573) = 1
LCM(2571,2573) = ( 2571 × 2573) / 1
LCM(2571,2573) = 6615183 / 1
LCM(2571,2573) = 6615183
(i) The LCM of 2573 and 2571 is associative
LCM of 2571 and 2573 = LCM of 2573 and 2571
1. What is the LCM of 2571 and 2573?
Answer: LCM of 2571 and 2573 is 6615183.
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 2573?
Answer: Factors of 2573 are 1, 31, 83, 2573. There are 4 integers that are factors of 2573. The greatest factor of 2573 is 2573.
4. How to Find the LCM of 2571 and 2573?
Answer:
Least Common Multiple of 2571 and 2573 = 6615183
Step 1: Find the prime factorization of 2571
2571 = 3 x 857
Step 2: Find the prime factorization of 2573
2573 = 31 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6615183 = 3 x 31 x 83 x 857
Step 4: Therefore, the least common multiple of 2571 and 2573 is 6615183.