Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6571 and 6573 the smallest integer that is 43191183 that is divisible by both numbers.
Least Common Multiple (LCM) of 6571 and 6573 is 43191183.
LCM(6571,6573) = 43191183
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 6571 and 6573. First we will calculate the prime factors of 6571 and 6573.
Prime Factorization of 6571
6571 | 6571 |
1 |
Prime factors of 6571 are 6571. Prime factorization of 6571 in exponential form is:
6571 = 65711
Prime Factorization of 6573
3 | 6573 |
7 | 2191 |
313 | 313 |
1 |
Prime factors of 6573 are 3, 7,313. Prime factorization of 6573 in exponential form is:
6573 = 31×71×3131
Now multiplying the highest exponent prime factors to calculate the LCM of 6571 and 6573.
LCM(6571,6573) = 31×71×3131×65711
LCM(6571,6573) = 43191183
Factors of 6571
List of positive integer factors of 6571 that divides 6571 without a remainder.
1, 6571
Factors of 6573
List of positive integer factors of 6573 that divides 6573 without a remainder.
1, 3, 7, 21, 313, 939, 2191, 6573
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6571 and 6573, than apply into the LCM equation.
GCF(6571,6573) = 1
LCM(6571,6573) = ( 6571 × 6573) / 1
LCM(6571,6573) = 43191183 / 1
LCM(6571,6573) = 43191183
(i) The LCM of 6573 and 6571 is associative
LCM of 6571 and 6573 = LCM of 6573 and 6571
1. What is the LCM of 6571 and 6573?
Answer: LCM of 6571 and 6573 is 43191183.
2. What are the Factors of 6571?
Answer: Factors of 6571 are 1, 6571. There are 2 integers that are factors of 6571. The greatest factor of 6571 is 6571.
3. What are the Factors of 6573?
Answer: Factors of 6573 are 1, 3, 7, 21, 313, 939, 2191, 6573. There are 8 integers that are factors of 6573. The greatest factor of 6573 is 6573.
4. How to Find the LCM of 6571 and 6573?
Answer:
Least Common Multiple of 6571 and 6573 = 43191183
Step 1: Find the prime factorization of 6571
6571 = 6571
Step 2: Find the prime factorization of 6573
6573 = 3 x 7 x 313
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43191183 = 3 x 7 x 313 x 6571
Step 4: Therefore, the least common multiple of 6571 and 6573 is 43191183.