Least Common Multiple of 9082 and 9089
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9082 and 9089 the smallest integer that is 82546298 that is divisible by both numbers.
Least Common Multiple (LCM) of 9082 and 9089 is 82546298.
LCM(9082,9089) = 82546298
LCM of 9082 and 9089
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9082 and 9089 by Prime method
- Least Common Multiple of 9082 and 9089 with GCF Formula
LCM of 9082 and 9089 is 82546298
Least common multiple can be found by multiplying the highest exponent prime factors of 9082 and 9089. First we will calculate the prime factors of 9082 and 9089.
Prime Factorization of 9082
| 2 | 9082 |
| 19 | 4541 |
| 239 | 239 |
| 1 |
Prime factors of 9082 are 2, 19,239. Prime factorization of 9082 in exponential form is:
9082 = 21×191×2391
Prime Factorization of 9089
| 61 | 9089 |
| 149 | 149 |
| 1 |
Prime factors of 9089 are 61,149. Prime factorization of 9089 in exponential form is:
9089 = 611×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 9082 and 9089.
LCM(9082,9089) = 21×191×611×1491×2391
LCM(9082,9089) = 82546298
Factors of 9082
List of positive integer factors of 9082 that divides 9082 without a remainder.
1, 2, 19, 38, 239, 478, 4541, 9082
Factors of 9089
List of positive integer factors of 9089 that divides 9089 without a remainder.
1, 61, 149, 9089
Least Common Multiple of 9082 and 9089 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9082 and 9089, than apply into the LCM equation.
GCF(9082,9089) = 1
LCM(9082,9089) = ( 9082 × 9089) / 1
LCM(9082,9089) = 82546298 / 1
LCM(9082,9089) = 82546298
Properties of LCM 9082 and 9089
(i) The LCM of 9089 and 9082 is associative
LCM of 9082 and 9089 = LCM of 9089 and 9082
Related Least Common Multiples of 9082
Related Least Common Multiples of 9089
Frequently Asked Questions on LCM of 9082 and 9089
1. What is the LCM of 9082 and 9089?
Answer: LCM of 9082 and 9089 is 82546298.
2. What are the Factors of 9082?
Answer: Factors of 9082 are 1, 2, 19, 38, 239, 478, 4541, 9082. There are 8 integers that are factors of 9082. The greatest factor of 9082 is 9082.
3. What are the Factors of 9089?
Answer: Factors of 9089 are 1, 61, 149, 9089. There are 4 integers that are factors of 9089. The greatest factor of 9089 is 9089.
4. How to Find the LCM of 9082 and 9089?
Answer:
Least Common Multiple of 9082 and 9089 = 82546298
Step 1: Find the prime factorization of 9082
9082 = 2 x 19 x 239
Step 2: Find the prime factorization of 9089
9089 = 61 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 82546298 = 2 x 19 x 61 x 149 x 239
Step 4: Therefore, the least common multiple of 9082 and 9089 is 82546298.