Least Common Multiple of 9085 and 9093
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9085 and 9093 the smallest integer that is 82609905 that is divisible by both numbers.
Least Common Multiple (LCM) of 9085 and 9093 is 82609905.
LCM(9085,9093) = 82609905
LCM of 9085 and 9093
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9085 and 9093 by Prime method
- Least Common Multiple of 9085 and 9093 with GCF Formula
LCM of 9085 and 9093 is 82609905
Least common multiple can be found by multiplying the highest exponent prime factors of 9085 and 9093. First we will calculate the prime factors of 9085 and 9093.
Prime Factorization of 9085
| 5 | 9085 |
| 23 | 1817 |
| 79 | 79 |
| 1 |
Prime factors of 9085 are 5, 23,79. Prime factorization of 9085 in exponential form is:
9085 = 51×231×791
Prime Factorization of 9093
| 3 | 9093 |
| 7 | 3031 |
| 433 | 433 |
| 1 |
Prime factors of 9093 are 3, 7,433. Prime factorization of 9093 in exponential form is:
9093 = 31×71×4331
Now multiplying the highest exponent prime factors to calculate the LCM of 9085 and 9093.
LCM(9085,9093) = 31×51×71×231×791×4331
LCM(9085,9093) = 82609905
Factors of 9085
List of positive integer factors of 9085 that divides 9085 without a remainder.
1, 5, 23, 79, 115, 395, 1817, 9085
Factors of 9093
List of positive integer factors of 9093 that divides 9093 without a remainder.
1, 3, 7, 21, 433, 1299, 3031, 9093
Least Common Multiple of 9085 and 9093 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9085 and 9093, than apply into the LCM equation.
GCF(9085,9093) = 1
LCM(9085,9093) = ( 9085 × 9093) / 1
LCM(9085,9093) = 82609905 / 1
LCM(9085,9093) = 82609905
Properties of LCM 9085 and 9093
(i) The LCM of 9093 and 9085 is associative
LCM of 9085 and 9093 = LCM of 9093 and 9085
Related Least Common Multiples of 9085
Related Least Common Multiples of 9093
Frequently Asked Questions on LCM of 9085 and 9093
1. What is the LCM of 9085 and 9093?
Answer: LCM of 9085 and 9093 is 82609905.
2. What are the Factors of 9085?
Answer: Factors of 9085 are 1, 5, 23, 79, 115, 395, 1817, 9085. There are 8 integers that are factors of 9085. The greatest factor of 9085 is 9085.
3. What are the Factors of 9093?
Answer: Factors of 9093 are 1, 3, 7, 21, 433, 1299, 3031, 9093. There are 8 integers that are factors of 9093. The greatest factor of 9093 is 9093.
4. How to Find the LCM of 9085 and 9093?
Answer:
Least Common Multiple of 9085 and 9093 = 82609905
Step 1: Find the prime factorization of 9085
9085 = 5 x 23 x 79
Step 2: Find the prime factorization of 9093
9093 = 3 x 7 x 433
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 82609905 = 3 x 5 x 7 x 23 x 79 x 433
Step 4: Therefore, the least common multiple of 9085 and 9093 is 82609905.