Least Common Multiple of 9583 and 9590
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 9590 the smallest integer that is 13128710 that is divisible by both numbers.
Least Common Multiple (LCM) of 9583 and 9590 is 13128710.
LCM(9583,9590) = 13128710
LCM of 9583 and 9590
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9583 and 9590 by Prime method
- Least Common Multiple of 9583 and 9590 with GCF Formula
LCM of 9583 and 9590 is 13128710
Least common multiple can be found by multiplying the highest exponent prime factors of 9583 and 9590. First we will calculate the prime factors of 9583 and 9590.
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 9590
| 2 | 9590 |
| 5 | 4795 |
| 7 | 959 |
| 137 | 137 |
| 1 |
Prime factors of 9590 are 2, 5, 7,137. Prime factorization of 9590 in exponential form is:
9590 = 21×51×71×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 9583 and 9590.
LCM(9583,9590) = 21×51×71×372×1371
LCM(9583,9590) = 13128710
Factors of 9583
List of positive integer factors of 9583 that divides 9583 without a remainder.
1, 7, 37, 259, 1369, 9583
Factors of 9590
List of positive integer factors of 9590 that divides 9590 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70, 137, 274, 685, 959, 1370, 1918, 4795, 9590
Least Common Multiple of 9583 and 9590 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 9590, than apply into the LCM equation.
GCF(9583,9590) = 7
LCM(9583,9590) = ( 9583 × 9590) / 7
LCM(9583,9590) = 91900970 / 7
LCM(9583,9590) = 13128710
Properties of LCM 9583 and 9590
(i) The LCM of 9590 and 9583 is associative
LCM of 9583 and 9590 = LCM of 9590 and 9583
Related Least Common Multiples of 9583
Related Least Common Multiples of 9590
Frequently Asked Questions on LCM of 9583 and 9590
1. What is the LCM of 9583 and 9590?
Answer: LCM of 9583 and 9590 is 13128710.
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 9590?
Answer: Factors of 9590 are 1, 2, 5, 7, 10, 14, 35, 70, 137, 274, 685, 959, 1370, 1918, 4795, 9590. There are 16 integers that are factors of 9590. The greatest factor of 9590 is 9590.
4. How to Find the LCM of 9583 and 9590?
Answer:
Least Common Multiple of 9583 and 9590 = 13128710
Step 1: Find the prime factorization of 9583
9583 = 7 x 37 x 37
Step 2: Find the prime factorization of 9590
9590 = 2 x 5 x 7 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13128710 = 2 x 5 x 7 x 37 x 37 x 137
Step 4: Therefore, the least common multiple of 9583 and 9590 is 13128710.