Least Common Multiple of 8585 and 8593
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8585 and 8593 the smallest integer that is 73770905 that is divisible by both numbers.
Least Common Multiple (LCM) of 8585 and 8593 is 73770905.
LCM(8585,8593) = 73770905
LCM of 8585 and 8593
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8585 and 8593 by Prime method
- Least Common Multiple of 8585 and 8593 with GCF Formula
LCM of 8585 and 8593 is 73770905
Least common multiple can be found by multiplying the highest exponent prime factors of 8585 and 8593. First we will calculate the prime factors of 8585 and 8593.
Prime Factorization of 8585
| 5 | 8585 |
| 17 | 1717 |
| 101 | 101 |
| 1 |
Prime factors of 8585 are 5, 17,101. Prime factorization of 8585 in exponential form is:
8585 = 51×171×1011
Prime Factorization of 8593
| 13 | 8593 |
| 661 | 661 |
| 1 |
Prime factors of 8593 are 13,661. Prime factorization of 8593 in exponential form is:
8593 = 131×6611
Now multiplying the highest exponent prime factors to calculate the LCM of 8585 and 8593.
LCM(8585,8593) = 51×131×171×1011×6611
LCM(8585,8593) = 73770905
Factors of 8585
List of positive integer factors of 8585 that divides 8585 without a remainder.
1, 5, 17, 85, 101, 505, 1717, 8585
Factors of 8593
List of positive integer factors of 8593 that divides 8593 without a remainder.
1, 13, 661, 8593
Least Common Multiple of 8585 and 8593 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8585 and 8593, than apply into the LCM equation.
GCF(8585,8593) = 1
LCM(8585,8593) = ( 8585 × 8593) / 1
LCM(8585,8593) = 73770905 / 1
LCM(8585,8593) = 73770905
Properties of LCM 8585 and 8593
(i) The LCM of 8593 and 8585 is associative
LCM of 8585 and 8593 = LCM of 8593 and 8585
Related Least Common Multiples of 8585
Related Least Common Multiples of 8593
Frequently Asked Questions on LCM of 8585 and 8593
1. What is the LCM of 8585 and 8593?
Answer: LCM of 8585 and 8593 is 73770905.
2. What are the Factors of 8585?
Answer: Factors of 8585 are 1, 5, 17, 85, 101, 505, 1717, 8585. There are 8 integers that are factors of 8585. The greatest factor of 8585 is 8585.
3. What are the Factors of 8593?
Answer: Factors of 8593 are 1, 13, 661, 8593. There are 4 integers that are factors of 8593. The greatest factor of 8593 is 8593.
4. How to Find the LCM of 8585 and 8593?
Answer:
Least Common Multiple of 8585 and 8593 = 73770905
Step 1: Find the prime factorization of 8585
8585 = 5 x 17 x 101
Step 2: Find the prime factorization of 8593
8593 = 13 x 661
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 73770905 = 5 x 13 x 17 x 101 x 661
Step 4: Therefore, the least common multiple of 8585 and 8593 is 73770905.