Least Common Multiple of 9589 and 9593
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9589 and 9593 the smallest integer that is 91987277 that is divisible by both numbers.
Least Common Multiple (LCM) of 9589 and 9593 is 91987277.
LCM(9589,9593) = 91987277
LCM of 9589 and 9593
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9589 and 9593 by Prime method
- Least Common Multiple of 9589 and 9593 with GCF Formula
LCM of 9589 and 9593 is 91987277
Least common multiple can be found by multiplying the highest exponent prime factors of 9589 and 9593. First we will calculate the prime factors of 9589 and 9593.
Prime Factorization of 9589
| 43 | 9589 |
| 223 | 223 |
| 1 |
Prime factors of 9589 are 43,223. Prime factorization of 9589 in exponential form is:
9589 = 431×2231
Prime Factorization of 9593
| 53 | 9593 |
| 181 | 181 |
| 1 |
Prime factors of 9593 are 53,181. Prime factorization of 9593 in exponential form is:
9593 = 531×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 9589 and 9593.
LCM(9589,9593) = 431×531×1811×2231
LCM(9589,9593) = 91987277
Factors of 9589
List of positive integer factors of 9589 that divides 9589 without a remainder.
1, 43, 223, 9589
Factors of 9593
List of positive integer factors of 9593 that divides 9593 without a remainder.
1, 53, 181, 9593
Least Common Multiple of 9589 and 9593 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9589 and 9593, than apply into the LCM equation.
GCF(9589,9593) = 1
LCM(9589,9593) = ( 9589 × 9593) / 1
LCM(9589,9593) = 91987277 / 1
LCM(9589,9593) = 91987277
Properties of LCM 9589 and 9593
(i) The LCM of 9593 and 9589 is associative
LCM of 9589 and 9593 = LCM of 9593 and 9589
Related Least Common Multiples of 9589
Related Least Common Multiples of 9593
Frequently Asked Questions on LCM of 9589 and 9593
1. What is the LCM of 9589 and 9593?
Answer: LCM of 9589 and 9593 is 91987277.
2. What are the Factors of 9589?
Answer: Factors of 9589 are 1, 43, 223, 9589. There are 4 integers that are factors of 9589. The greatest factor of 9589 is 9589.
3. What are the Factors of 9593?
Answer: Factors of 9593 are 1, 53, 181, 9593. There are 4 integers that are factors of 9593. The greatest factor of 9593 is 9593.
4. How to Find the LCM of 9589 and 9593?
Answer:
Least Common Multiple of 9589 and 9593 = 91987277
Step 1: Find the prime factorization of 9589
9589 = 43 x 223
Step 2: Find the prime factorization of 9593
9593 = 53 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 91987277 = 43 x 53 x 181 x 223
Step 4: Therefore, the least common multiple of 9589 and 9593 is 91987277.