Least Common Multiple of 9077 and 9083
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 9083 the smallest integer that is 82446391 that is divisible by both numbers.
Least Common Multiple (LCM) of 9077 and 9083 is 82446391.
LCM(9077,9083) = 82446391
LCM of 9077 and 9083
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9077 and 9083 by Prime method
- Least Common Multiple of 9077 and 9083 with GCF Formula
LCM of 9077 and 9083 is 82446391
Least common multiple can be found by multiplying the highest exponent prime factors of 9077 and 9083. First we will calculate the prime factors of 9077 and 9083.
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 9083
| 31 | 9083 |
| 293 | 293 |
| 1 |
Prime factors of 9083 are 31,293. Prime factorization of 9083 in exponential form is:
9083 = 311×2931
Now multiplying the highest exponent prime factors to calculate the LCM of 9077 and 9083.
LCM(9077,9083) = 291×311×2931×3131
LCM(9077,9083) = 82446391
Factors of 9077
List of positive integer factors of 9077 that divides 9077 without a remainder.
1, 29, 313, 9077
Factors of 9083
List of positive integer factors of 9083 that divides 9083 without a remainder.
1, 31, 293, 9083
Least Common Multiple of 9077 and 9083 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 9083, than apply into the LCM equation.
GCF(9077,9083) = 1
LCM(9077,9083) = ( 9077 × 9083) / 1
LCM(9077,9083) = 82446391 / 1
LCM(9077,9083) = 82446391
Properties of LCM 9077 and 9083
(i) The LCM of 9083 and 9077 is associative
LCM of 9077 and 9083 = LCM of 9083 and 9077
Related Least Common Multiples of 9077
Related Least Common Multiples of 9083
Frequently Asked Questions on LCM of 9077 and 9083
1. What is the LCM of 9077 and 9083?
Answer: LCM of 9077 and 9083 is 82446391.
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 9083?
Answer: Factors of 9083 are 1, 31, 293, 9083. There are 4 integers that are factors of 9083. The greatest factor of 9083 is 9083.
4. How to Find the LCM of 9077 and 9083?
Answer:
Least Common Multiple of 9077 and 9083 = 82446391
Step 1: Find the prime factorization of 9077
9077 = 29 x 313
Step 2: Find the prime factorization of 9083
9083 = 31 x 293
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 82446391 = 29 x 31 x 293 x 313
Step 4: Therefore, the least common multiple of 9077 and 9083 is 82446391.