Least Common Multiple of 9573 and 9581
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9573 and 9581 the smallest integer that is 91718913 that is divisible by both numbers.
Least Common Multiple (LCM) of 9573 and 9581 is 91718913.
LCM(9573,9581) = 91718913
LCM of 9573 and 9581
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9573 and 9581 by Prime method
- Least Common Multiple of 9573 and 9581 with GCF Formula
LCM of 9573 and 9581 is 91718913
Least common multiple can be found by multiplying the highest exponent prime factors of 9573 and 9581. First we will calculate the prime factors of 9573 and 9581.
Prime Factorization of 9573
| 3 | 9573 |
| 3191 | 3191 |
| 1 |
Prime factors of 9573 are 3,3191. Prime factorization of 9573 in exponential form is:
9573 = 31×31911
Prime Factorization of 9581
| 11 | 9581 |
| 13 | 871 |
| 67 | 67 |
| 1 |
Prime factors of 9581 are 11, 13,67. Prime factorization of 9581 in exponential form is:
9581 = 111×131×671
Now multiplying the highest exponent prime factors to calculate the LCM of 9573 and 9581.
LCM(9573,9581) = 31×111×131×671×31911
LCM(9573,9581) = 91718913
Factors of 9573
List of positive integer factors of 9573 that divides 9573 without a remainder.
1, 3, 3191, 9573
Factors of 9581
List of positive integer factors of 9581 that divides 9581 without a remainder.
1, 11, 13, 67, 143, 737, 871, 9581
Least Common Multiple of 9573 and 9581 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9573 and 9581, than apply into the LCM equation.
GCF(9573,9581) = 1
LCM(9573,9581) = ( 9573 × 9581) / 1
LCM(9573,9581) = 91718913 / 1
LCM(9573,9581) = 91718913
Properties of LCM 9573 and 9581
(i) The LCM of 9581 and 9573 is associative
LCM of 9573 and 9581 = LCM of 9581 and 9573
Related Least Common Multiples of 9573
Related Least Common Multiples of 9581
Frequently Asked Questions on LCM of 9573 and 9581
1. What is the LCM of 9573 and 9581?
Answer: LCM of 9573 and 9581 is 91718913.
2. What are the Factors of 9573?
Answer: Factors of 9573 are 1, 3, 3191, 9573. There are 4 integers that are factors of 9573. The greatest factor of 9573 is 9573.
3. What are the Factors of 9581?
Answer: Factors of 9581 are 1, 11, 13, 67, 143, 737, 871, 9581. There are 8 integers that are factors of 9581. The greatest factor of 9581 is 9581.
4. How to Find the LCM of 9573 and 9581?
Answer:
Least Common Multiple of 9573 and 9581 = 91718913
Step 1: Find the prime factorization of 9573
9573 = 3 x 3191
Step 2: Find the prime factorization of 9581
9581 = 11 x 13 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 91718913 = 3 x 11 x 13 x 67 x 3191
Step 4: Therefore, the least common multiple of 9573 and 9581 is 91718913.