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 9596 the smallest integer that is 92016044 that is divisible by both numbers.
Least Common Multiple (LCM) of 9589 and 9596 is 92016044.
LCM(9589,9596) = 92016044
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 9589 and 9596. First we will calculate the prime factors of 9589 and 9596.
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 9596
2 | 9596 |
2 | 4798 |
2399 | 2399 |
1 |
Prime factors of 9596 are 2,2399. Prime factorization of 9596 in exponential form is:
9596 = 22×23991
Now multiplying the highest exponent prime factors to calculate the LCM of 9589 and 9596.
LCM(9589,9596) = 22×431×2231×23991
LCM(9589,9596) = 92016044
Factors of 9589
List of positive integer factors of 9589 that divides 9589 without a remainder.
1, 43, 223, 9589
Factors of 9596
List of positive integer factors of 9596 that divides 9596 without a remainder.
1, 2, 4, 2399, 4798, 9596
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9589 and 9596, than apply into the LCM equation.
GCF(9589,9596) = 1
LCM(9589,9596) = ( 9589 × 9596) / 1
LCM(9589,9596) = 92016044 / 1
LCM(9589,9596) = 92016044
(i) The LCM of 9596 and 9589 is associative
LCM of 9589 and 9596 = LCM of 9596 and 9589
1. What is the LCM of 9589 and 9596?
Answer: LCM of 9589 and 9596 is 92016044.
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 9596?
Answer: Factors of 9596 are 1, 2, 4, 2399, 4798, 9596. There are 6 integers that are factors of 9596. The greatest factor of 9596 is 9596.
4. How to Find the LCM of 9589 and 9596?
Answer:
Least Common Multiple of 9589 and 9596 = 92016044
Step 1: Find the prime factorization of 9589
9589 = 43 x 223
Step 2: Find the prime factorization of 9596
9596 = 2 x 2 x 2399
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 92016044 = 2 x 2 x 43 x 223 x 2399
Step 4: Therefore, the least common multiple of 9589 and 9596 is 92016044.