Least Common Multiple of 9583 and 9591
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 9591 the smallest integer that is 91910553 that is divisible by both numbers.
Least Common Multiple (LCM) of 9583 and 9591 is 91910553.
LCM(9583,9591) = 91910553
LCM of 9583 and 9591
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9583 and 9591 by Prime method
- Least Common Multiple of 9583 and 9591 with GCF Formula
LCM of 9583 and 9591 is 91910553
Least common multiple can be found by multiplying the highest exponent prime factors of 9583 and 9591. First we will calculate the prime factors of 9583 and 9591.
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 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
Now multiplying the highest exponent prime factors to calculate the LCM of 9583 and 9591.
LCM(9583,9591) = 31×71×231×372×1391
LCM(9583,9591) = 91910553
Factors of 9583
List of positive integer factors of 9583 that divides 9583 without a remainder.
1, 7, 37, 259, 1369, 9583
Factors of 9591
List of positive integer factors of 9591 that divides 9591 without a remainder.
1, 3, 23, 69, 139, 417, 3197, 9591
Least Common Multiple of 9583 and 9591 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 9591, than apply into the LCM equation.
GCF(9583,9591) = 1
LCM(9583,9591) = ( 9583 × 9591) / 1
LCM(9583,9591) = 91910553 / 1
LCM(9583,9591) = 91910553
Properties of LCM 9583 and 9591
(i) The LCM of 9591 and 9583 is associative
LCM of 9583 and 9591 = LCM of 9591 and 9583
Related Least Common Multiples of 9583
Related Least Common Multiples of 9591
Frequently Asked Questions on LCM of 9583 and 9591
1. What is the LCM of 9583 and 9591?
Answer: LCM of 9583 and 9591 is 91910553.
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 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.
4. How to Find the LCM of 9583 and 9591?
Answer:
Least Common Multiple of 9583 and 9591 = 91910553
Step 1: Find the prime factorization of 9583
9583 = 7 x 37 x 37
Step 2: Find the prime factorization of 9591
9591 = 3 x 23 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 91910553 = 3 x 7 x 23 x 37 x 37 x 139
Step 4: Therefore, the least common multiple of 9583 and 9591 is 91910553.