Least Common Multiple of 8581 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 8581 and 8585 the smallest integer that is 73667885 that is divisible by both numbers.
Least Common Multiple (LCM) of 8581 and 8585 is 73667885.
LCM(8581,8585) = 73667885
LCM of 8581 and 8585
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8581 and 8585 by Prime method
- Least Common Multiple of 8581 and 8585 with GCF Formula
LCM of 8581 and 8585 is 73667885
Least common multiple can be found by multiplying the highest exponent prime factors of 8581 and 8585. First we will calculate the prime factors of 8581 and 8585.
Prime Factorization of 8581
| 8581 | 8581 |
| 1 |
Prime factors of 8581 are 8581. Prime factorization of 8581 in exponential form is:
8581 = 85811
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 8581 and 8585.
LCM(8581,8585) = 51×171×1011×85811
LCM(8581,8585) = 73667885
Factors of 8581
List of positive integer factors of 8581 that divides 8581 without a remainder.
1, 8581
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 8581 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 8581 and 8585, than apply into the LCM equation.
GCF(8581,8585) = 1
LCM(8581,8585) = ( 8581 × 8585) / 1
LCM(8581,8585) = 73667885 / 1
LCM(8581,8585) = 73667885
Properties of LCM 8581 and 8585
(i) The LCM of 8585 and 8581 is associative
LCM of 8581 and 8585 = LCM of 8585 and 8581
Related Least Common Multiples of 8581
Related Least Common Multiples of 8585
Frequently Asked Questions on LCM of 8581 and 8585
1. What is the LCM of 8581 and 8585?
Answer: LCM of 8581 and 8585 is 73667885.
2. What are the Factors of 8581?
Answer: Factors of 8581 are 1, 8581. There are 2 integers that are factors of 8581. The greatest factor of 8581 is 8581.
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 8581 and 8585?
Answer:
Least Common Multiple of 8581 and 8585 = 73667885
Step 1: Find the prime factorization of 8581
8581 = 8581
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 = 73667885 = 5 x 17 x 101 x 8581
Step 4: Therefore, the least common multiple of 8581 and 8585 is 73667885.