Least Common Multiple of 9077 and 9085
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9077 and 9085 the smallest integer that is 82464545 that is divisible by both numbers.
Least Common Multiple (LCM) of 9077 and 9085 is 82464545.
LCM(9077,9085) = 82464545
LCM of 9077 and 9085
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9077 and 9085 by Prime method
- Least Common Multiple of 9077 and 9085 with GCF Formula
LCM of 9077 and 9085 is 82464545
Least common multiple can be found by multiplying the highest exponent prime factors of 9077 and 9085. First we will calculate the prime factors of 9077 and 9085.
Prime Factorization of 9077
| 29 | 9077 |
| 313 | 313 |
| 1 |
Prime factors of 9077 are 29,313. Prime factorization of 9077 in exponential form is:
9077 = 291×3131
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9077 and 9085.
LCM(9077,9085) = 51×231×291×791×3131
LCM(9077,9085) = 82464545
Factors of 9077
List of positive integer factors of 9077 that divides 9077 without a remainder.
1, 29, 313, 9077
Factors of 9085
List of positive integer factors of 9085 that divides 9085 without a remainder.
1, 5, 23, 79, 115, 395, 1817, 9085
Least Common Multiple of 9077 and 9085 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9077 and 9085, than apply into the LCM equation.
GCF(9077,9085) = 1
LCM(9077,9085) = ( 9077 × 9085) / 1
LCM(9077,9085) = 82464545 / 1
LCM(9077,9085) = 82464545
Properties of LCM 9077 and 9085
(i) The LCM of 9085 and 9077 is associative
LCM of 9077 and 9085 = LCM of 9085 and 9077
Related Least Common Multiples of 9077
Related Least Common Multiples of 9085
Frequently Asked Questions on LCM of 9077 and 9085
1. What is the LCM of 9077 and 9085?
Answer: LCM of 9077 and 9085 is 82464545.
2. What are the Factors of 9077?
Answer: Factors of 9077 are 1, 29, 313, 9077. There are 4 integers that are factors of 9077. The greatest factor of 9077 is 9077.
3. 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.
4. How to Find the LCM of 9077 and 9085?
Answer:
Least Common Multiple of 9077 and 9085 = 82464545
Step 1: Find the prime factorization of 9077
9077 = 29 x 313
Step 2: Find the prime factorization of 9085
9085 = 5 x 23 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 82464545 = 5 x 23 x 29 x 79 x 313
Step 4: Therefore, the least common multiple of 9077 and 9085 is 82464545.