Least Common Multiple of 9579 and 9583
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9579 and 9583 the smallest integer that is 91795557 that is divisible by both numbers.
Least Common Multiple (LCM) of 9579 and 9583 is 91795557.
LCM(9579,9583) = 91795557
LCM of 9579 and 9583
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9579 and 9583 by Prime method
- Least Common Multiple of 9579 and 9583 with GCF Formula
LCM of 9579 and 9583 is 91795557
Least common multiple can be found by multiplying the highest exponent prime factors of 9579 and 9583. First we will calculate the prime factors of 9579 and 9583.
Prime Factorization of 9579
| 3 | 9579 |
| 31 | 3193 |
| 103 | 103 |
| 1 |
Prime factors of 9579 are 3, 31,103. Prime factorization of 9579 in exponential form is:
9579 = 31×311×1031
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9579 and 9583.
LCM(9579,9583) = 31×71×311×372×1031
LCM(9579,9583) = 91795557
Factors of 9579
List of positive integer factors of 9579 that divides 9579 without a remainder.
1, 3, 31, 93, 103, 309, 3193, 9579
Factors of 9583
List of positive integer factors of 9583 that divides 9583 without a remainder.
1, 7, 37, 259, 1369, 9583
Least Common Multiple of 9579 and 9583 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9579 and 9583, than apply into the LCM equation.
GCF(9579,9583) = 1
LCM(9579,9583) = ( 9579 × 9583) / 1
LCM(9579,9583) = 91795557 / 1
LCM(9579,9583) = 91795557
Properties of LCM 9579 and 9583
(i) The LCM of 9583 and 9579 is associative
LCM of 9579 and 9583 = LCM of 9583 and 9579
Related Least Common Multiples of 9579
Related Least Common Multiples of 9583
Frequently Asked Questions on LCM of 9579 and 9583
1. What is the LCM of 9579 and 9583?
Answer: LCM of 9579 and 9583 is 91795557.
2. What are the Factors of 9579?
Answer: Factors of 9579 are 1, 3, 31, 93, 103, 309, 3193, 9579. There are 8 integers that are factors of 9579. The greatest factor of 9579 is 9579.
3. 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.
4. How to Find the LCM of 9579 and 9583?
Answer:
Least Common Multiple of 9579 and 9583 = 91795557
Step 1: Find the prime factorization of 9579
9579 = 3 x 31 x 103
Step 2: Find the prime factorization of 9583
9583 = 7 x 37 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 91795557 = 3 x 7 x 31 x 37 x 37 x 103
Step 4: Therefore, the least common multiple of 9579 and 9583 is 91795557.