Least Common Multiple of 9588 and 9593
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9588 and 9593 the smallest integer that is 91977684 that is divisible by both numbers.
Least Common Multiple (LCM) of 9588 and 9593 is 91977684.
LCM(9588,9593) = 91977684
LCM of 9588 and 9593
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9588 and 9593 by Prime method
- Least Common Multiple of 9588 and 9593 with GCF Formula
LCM of 9588 and 9593 is 91977684
Least common multiple can be found by multiplying the highest exponent prime factors of 9588 and 9593. First we will calculate the prime factors of 9588 and 9593.
Prime Factorization of 9588
| 2 | 9588 |
| 2 | 4794 |
| 3 | 2397 |
| 17 | 799 |
| 47 | 47 |
| 1 |
Prime factors of 9588 are 2, 3, 17,47. Prime factorization of 9588 in exponential form is:
9588 = 22×31×171×471
Prime Factorization of 9593
| 53 | 9593 |
| 181 | 181 |
| 1 |
Prime factors of 9593 are 53,181. Prime factorization of 9593 in exponential form is:
9593 = 531×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 9588 and 9593.
LCM(9588,9593) = 22×31×171×471×531×1811
LCM(9588,9593) = 91977684
Factors of 9588
List of positive integer factors of 9588 that divides 9588 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 47, 51, 68, 94, 102, 141, 188, 204, 282, 564, 799, 1598, 2397, 3196, 4794, 9588
Factors of 9593
List of positive integer factors of 9593 that divides 9593 without a remainder.
1, 53, 181, 9593
Least Common Multiple of 9588 and 9593 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9588 and 9593, than apply into the LCM equation.
GCF(9588,9593) = 1
LCM(9588,9593) = ( 9588 × 9593) / 1
LCM(9588,9593) = 91977684 / 1
LCM(9588,9593) = 91977684
Properties of LCM 9588 and 9593
(i) The LCM of 9593 and 9588 is associative
LCM of 9588 and 9593 = LCM of 9593 and 9588
Related Least Common Multiples of 9588
Related Least Common Multiples of 9593
Frequently Asked Questions on LCM of 9588 and 9593
1. What is the LCM of 9588 and 9593?
Answer: LCM of 9588 and 9593 is 91977684.
2. What are the Factors of 9588?
Answer: Factors of 9588 are 1, 2, 3, 4, 6, 12, 17, 34, 47, 51, 68, 94, 102, 141, 188, 204, 282, 564, 799, 1598, 2397, 3196, 4794, 9588. There are 24 integers that are factors of 9588. The greatest factor of 9588 is 9588.
3. What are the Factors of 9593?
Answer: Factors of 9593 are 1, 53, 181, 9593. There are 4 integers that are factors of 9593. The greatest factor of 9593 is 9593.
4. How to Find the LCM of 9588 and 9593?
Answer:
Least Common Multiple of 9588 and 9593 = 91977684
Step 1: Find the prime factorization of 9588
9588 = 2 x 2 x 3 x 17 x 47
Step 2: Find the prime factorization of 9593
9593 = 53 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 91977684 = 2 x 2 x 3 x 17 x 47 x 53 x 181
Step 4: Therefore, the least common multiple of 9588 and 9593 is 91977684.