Least Common Multiple of 9583 and 9589
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9583 and 9589 the smallest integer that is 91891387 that is divisible by both numbers.
Least Common Multiple (LCM) of 9583 and 9589 is 91891387.
LCM(9583,9589) = 91891387
LCM of 9583 and 9589
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9583 and 9589 by Prime method
- Least Common Multiple of 9583 and 9589 with GCF Formula
LCM of 9583 and 9589 is 91891387
Least common multiple can be found by multiplying the highest exponent prime factors of 9583 and 9589. First we will calculate the prime factors of 9583 and 9589.
Prime Factorization of 9583
| 7 | 9583 |
| 37 | 1369 |
| 37 | 37 |
| 1 |
Prime factors of 9583 are 7,37. Prime factorization of 9583 in exponential form is:
9583 = 71×372
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9583 and 9589.
LCM(9583,9589) = 71×372×431×2231
LCM(9583,9589) = 91891387
Factors of 9583
List of positive integer factors of 9583 that divides 9583 without a remainder.
1, 7, 37, 259, 1369, 9583
Factors of 9589
List of positive integer factors of 9589 that divides 9589 without a remainder.
1, 43, 223, 9589
Least Common Multiple of 9583 and 9589 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9583 and 9589, than apply into the LCM equation.
GCF(9583,9589) = 1
LCM(9583,9589) = ( 9583 × 9589) / 1
LCM(9583,9589) = 91891387 / 1
LCM(9583,9589) = 91891387
Properties of LCM 9583 and 9589
(i) The LCM of 9589 and 9583 is associative
LCM of 9583 and 9589 = LCM of 9589 and 9583
Related Least Common Multiples of 9583
Related Least Common Multiples of 9589
Frequently Asked Questions on LCM of 9583 and 9589
1. What is the LCM of 9583 and 9589?
Answer: LCM of 9583 and 9589 is 91891387.
2. What are the Factors of 9583?
Answer: Factors of 9583 are 1, 7, 37, 259, 1369, 9583. There are 6 integers that are factors of 9583. The greatest factor of 9583 is 9583.
3. 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.
4. How to Find the LCM of 9583 and 9589?
Answer:
Least Common Multiple of 9583 and 9589 = 91891387
Step 1: Find the prime factorization of 9583
9583 = 7 x 37 x 37
Step 2: Find the prime factorization of 9589
9589 = 43 x 223
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 91891387 = 7 x 37 x 37 x 43 x 223
Step 4: Therefore, the least common multiple of 9583 and 9589 is 91891387.