Least Common Multiple of 9565 and 9571
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9565 and 9571 the smallest integer that is 91546615 that is divisible by both numbers.
Least Common Multiple (LCM) of 9565 and 9571 is 91546615.
LCM(9565,9571) = 91546615
LCM of 9565 and 9571
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9565 and 9571 by Prime method
- Least Common Multiple of 9565 and 9571 with GCF Formula
LCM of 9565 and 9571 is 91546615
Least common multiple can be found by multiplying the highest exponent prime factors of 9565 and 9571. First we will calculate the prime factors of 9565 and 9571.
Prime Factorization of 9565
| 5 | 9565 |
| 1913 | 1913 |
| 1 |
Prime factors of 9565 are 5,1913. Prime factorization of 9565 in exponential form is:
9565 = 51×19131
Prime Factorization of 9571
| 17 | 9571 |
| 563 | 563 |
| 1 |
Prime factors of 9571 are 17,563. Prime factorization of 9571 in exponential form is:
9571 = 171×5631
Now multiplying the highest exponent prime factors to calculate the LCM of 9565 and 9571.
LCM(9565,9571) = 51×171×5631×19131
LCM(9565,9571) = 91546615
Factors of 9565
List of positive integer factors of 9565 that divides 9565 without a remainder.
1, 5, 1913, 9565
Factors of 9571
List of positive integer factors of 9571 that divides 9571 without a remainder.
1, 17, 563, 9571
Least Common Multiple of 9565 and 9571 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9565 and 9571, than apply into the LCM equation.
GCF(9565,9571) = 1
LCM(9565,9571) = ( 9565 × 9571) / 1
LCM(9565,9571) = 91546615 / 1
LCM(9565,9571) = 91546615
Properties of LCM 9565 and 9571
(i) The LCM of 9571 and 9565 is associative
LCM of 9565 and 9571 = LCM of 9571 and 9565
Related Least Common Multiples of 9565
Related Least Common Multiples of 9571
Frequently Asked Questions on LCM of 9565 and 9571
1. What is the LCM of 9565 and 9571?
Answer: LCM of 9565 and 9571 is 91546615.
2. What are the Factors of 9565?
Answer: Factors of 9565 are 1, 5, 1913, 9565. There are 4 integers that are factors of 9565. The greatest factor of 9565 is 9565.
3. What are the Factors of 9571?
Answer: Factors of 9571 are 1, 17, 563, 9571. There are 4 integers that are factors of 9571. The greatest factor of 9571 is 9571.
4. How to Find the LCM of 9565 and 9571?
Answer:
Least Common Multiple of 9565 and 9571 = 91546615
Step 1: Find the prime factorization of 9565
9565 = 5 x 1913
Step 2: Find the prime factorization of 9571
9571 = 17 x 563
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 91546615 = 5 x 17 x 563 x 1913
Step 4: Therefore, the least common multiple of 9565 and 9571 is 91546615.