Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8566 and 8571 the smallest integer that is 73419186 that is divisible by both numbers.
Least Common Multiple (LCM) of 8566 and 8571 is 73419186.
LCM(8566,8571) = 73419186
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 8566 and 8571. First we will calculate the prime factors of 8566 and 8571.
Prime Factorization of 8566
2 | 8566 |
4283 | 4283 |
1 |
Prime factors of 8566 are 2,4283. Prime factorization of 8566 in exponential form is:
8566 = 21×42831
Prime Factorization of 8571
3 | 8571 |
2857 | 2857 |
1 |
Prime factors of 8571 are 3,2857. Prime factorization of 8571 in exponential form is:
8571 = 31×28571
Now multiplying the highest exponent prime factors to calculate the LCM of 8566 and 8571.
LCM(8566,8571) = 21×31×28571×42831
LCM(8566,8571) = 73419186
Factors of 8566
List of positive integer factors of 8566 that divides 8566 without a remainder.
1, 2, 4283, 8566
Factors of 8571
List of positive integer factors of 8571 that divides 8571 without a remainder.
1, 3, 2857, 8571
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8566 and 8571, than apply into the LCM equation.
GCF(8566,8571) = 1
LCM(8566,8571) = ( 8566 × 8571) / 1
LCM(8566,8571) = 73419186 / 1
LCM(8566,8571) = 73419186
(i) The LCM of 8571 and 8566 is associative
LCM of 8566 and 8571 = LCM of 8571 and 8566
1. What is the LCM of 8566 and 8571?
Answer: LCM of 8566 and 8571 is 73419186.
2. What are the Factors of 8566?
Answer: Factors of 8566 are 1, 2, 4283, 8566. There are 4 integers that are factors of 8566. The greatest factor of 8566 is 8566.
3. What are the Factors of 8571?
Answer: Factors of 8571 are 1, 3, 2857, 8571. There are 4 integers that are factors of 8571. The greatest factor of 8571 is 8571.
4. How to Find the LCM of 8566 and 8571?
Answer:
Least Common Multiple of 8566 and 8571 = 73419186
Step 1: Find the prime factorization of 8566
8566 = 2 x 4283
Step 2: Find the prime factorization of 8571
8571 = 3 x 2857
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 73419186 = 2 x 3 x 2857 x 4283
Step 4: Therefore, the least common multiple of 8566 and 8571 is 73419186.