Least Common Multiple of 8579 and 8585
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8579 and 8585 the smallest integer that is 73650715 that is divisible by both numbers.
Least Common Multiple (LCM) of 8579 and 8585 is 73650715.
LCM(8579,8585) = 73650715
LCM of 8579 and 8585
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8579 and 8585 by Prime method
- Least Common Multiple of 8579 and 8585 with GCF Formula
LCM of 8579 and 8585 is 73650715
Least common multiple can be found by multiplying the highest exponent prime factors of 8579 and 8585. First we will calculate the prime factors of 8579 and 8585.
Prime Factorization of 8579
| 23 | 8579 |
| 373 | 373 |
| 1 |
Prime factors of 8579 are 23,373. Prime factorization of 8579 in exponential form is:
8579 = 231×3731
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8579 and 8585.
LCM(8579,8585) = 51×171×231×1011×3731
LCM(8579,8585) = 73650715
Factors of 8579
List of positive integer factors of 8579 that divides 8579 without a remainder.
1, 23, 373, 8579
Factors of 8585
List of positive integer factors of 8585 that divides 8585 without a remainder.
1, 5, 17, 85, 101, 505, 1717, 8585
Least Common Multiple of 8579 and 8585 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8579 and 8585, than apply into the LCM equation.
GCF(8579,8585) = 1
LCM(8579,8585) = ( 8579 × 8585) / 1
LCM(8579,8585) = 73650715 / 1
LCM(8579,8585) = 73650715
Properties of LCM 8579 and 8585
(i) The LCM of 8585 and 8579 is associative
LCM of 8579 and 8585 = LCM of 8585 and 8579
Related Least Common Multiples of 8579
Related Least Common Multiples of 8585
Frequently Asked Questions on LCM of 8579 and 8585
1. What is the LCM of 8579 and 8585?
Answer: LCM of 8579 and 8585 is 73650715.
2. What are the Factors of 8579?
Answer: Factors of 8579 are 1, 23, 373, 8579. There are 4 integers that are factors of 8579. The greatest factor of 8579 is 8579.
3. 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.
4. How to Find the LCM of 8579 and 8585?
Answer:
Least Common Multiple of 8579 and 8585 = 73650715
Step 1: Find the prime factorization of 8579
8579 = 23 x 373
Step 2: Find the prime factorization of 8585
8585 = 5 x 17 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 73650715 = 5 x 17 x 23 x 101 x 373
Step 4: Therefore, the least common multiple of 8579 and 8585 is 73650715.