Least Common Multiple of 9589 and 9594
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 9594 the smallest integer that is 91996866 that is divisible by both numbers.
Least Common Multiple (LCM) of 9589 and 9594 is 91996866.
LCM(9589,9594) = 91996866
LCM of 9589 and 9594
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9589 and 9594 by Prime method
- Least Common Multiple of 9589 and 9594 with GCF Formula
LCM of 9589 and 9594 is 91996866
Least common multiple can be found by multiplying the highest exponent prime factors of 9589 and 9594. First we will calculate the prime factors of 9589 and 9594.
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 9594
| 2 | 9594 |
| 3 | 4797 |
| 3 | 1599 |
| 13 | 533 |
| 41 | 41 |
| 1 |
Prime factors of 9594 are 2, 3, 13,41. Prime factorization of 9594 in exponential form is:
9594 = 21×32×131×411
Now multiplying the highest exponent prime factors to calculate the LCM of 9589 and 9594.
LCM(9589,9594) = 21×32×131×411×431×2231
LCM(9589,9594) = 91996866
Factors of 9589
List of positive integer factors of 9589 that divides 9589 without a remainder.
1, 43, 223, 9589
Factors of 9594
List of positive integer factors of 9594 that divides 9594 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 41, 78, 82, 117, 123, 234, 246, 369, 533, 738, 1066, 1599, 3198, 4797, 9594
Least Common Multiple of 9589 and 9594 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 9594, than apply into the LCM equation.
GCF(9589,9594) = 1
LCM(9589,9594) = ( 9589 × 9594) / 1
LCM(9589,9594) = 91996866 / 1
LCM(9589,9594) = 91996866
Properties of LCM 9589 and 9594
(i) The LCM of 9594 and 9589 is associative
LCM of 9589 and 9594 = LCM of 9594 and 9589
Related Least Common Multiples of 9589
Related Least Common Multiples of 9594
Frequently Asked Questions on LCM of 9589 and 9594
1. What is the LCM of 9589 and 9594?
Answer: LCM of 9589 and 9594 is 91996866.
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 9594?
Answer: Factors of 9594 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 41, 78, 82, 117, 123, 234, 246, 369, 533, 738, 1066, 1599, 3198, 4797, 9594. There are 24 integers that are factors of 9594. The greatest factor of 9594 is 9594.
4. How to Find the LCM of 9589 and 9594?
Answer:
Least Common Multiple of 9589 and 9594 = 91996866
Step 1: Find the prime factorization of 9589
9589 = 43 x 223
Step 2: Find the prime factorization of 9594
9594 = 2 x 3 x 3 x 13 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 91996866 = 2 x 3 x 3 x 13 x 41 x 43 x 223
Step 4: Therefore, the least common multiple of 9589 and 9594 is 91996866.