Least Common Multiple of 9591 and 9599
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9591 and 9599 the smallest integer that is 92064009 that is divisible by both numbers.
Least Common Multiple (LCM) of 9591 and 9599 is 92064009.
LCM(9591,9599) = 92064009
LCM of 9591 and 9599
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9591 and 9599 by Prime method
- Least Common Multiple of 9591 and 9599 with GCF Formula
LCM of 9591 and 9599 is 92064009
Least common multiple can be found by multiplying the highest exponent prime factors of 9591 and 9599. First we will calculate the prime factors of 9591 and 9599.
Prime Factorization of 9591
| 3 | 9591 |
| 23 | 3197 |
| 139 | 139 |
| 1 |
Prime factors of 9591 are 3, 23,139. Prime factorization of 9591 in exponential form is:
9591 = 31×231×1391
Prime Factorization of 9599
| 29 | 9599 |
| 331 | 331 |
| 1 |
Prime factors of 9599 are 29,331. Prime factorization of 9599 in exponential form is:
9599 = 291×3311
Now multiplying the highest exponent prime factors to calculate the LCM of 9591 and 9599.
LCM(9591,9599) = 31×231×291×1391×3311
LCM(9591,9599) = 92064009
Factors of 9591
List of positive integer factors of 9591 that divides 9591 without a remainder.
1, 3, 23, 69, 139, 417, 3197, 9591
Factors of 9599
List of positive integer factors of 9599 that divides 9599 without a remainder.
1, 29, 331, 9599
Least Common Multiple of 9591 and 9599 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9591 and 9599, than apply into the LCM equation.
GCF(9591,9599) = 1
LCM(9591,9599) = ( 9591 × 9599) / 1
LCM(9591,9599) = 92064009 / 1
LCM(9591,9599) = 92064009
Properties of LCM 9591 and 9599
(i) The LCM of 9599 and 9591 is associative
LCM of 9591 and 9599 = LCM of 9599 and 9591
Related Least Common Multiples of 9591
Related Least Common Multiples of 9599
Frequently Asked Questions on LCM of 9591 and 9599
1. What is the LCM of 9591 and 9599?
Answer: LCM of 9591 and 9599 is 92064009.
2. What are the Factors of 9591?
Answer: Factors of 9591 are 1, 3, 23, 69, 139, 417, 3197, 9591. There are 8 integers that are factors of 9591. The greatest factor of 9591 is 9591.
3. What are the Factors of 9599?
Answer: Factors of 9599 are 1, 29, 331, 9599. There are 4 integers that are factors of 9599. The greatest factor of 9599 is 9599.
4. How to Find the LCM of 9591 and 9599?
Answer:
Least Common Multiple of 9591 and 9599 = 92064009
Step 1: Find the prime factorization of 9591
9591 = 3 x 23 x 139
Step 2: Find the prime factorization of 9599
9599 = 29 x 331
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 92064009 = 3 x 23 x 29 x 139 x 331
Step 4: Therefore, the least common multiple of 9591 and 9599 is 92064009.