Least Common Multiple of 10285 and 10289
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10285 and 10289 the smallest integer that is 105822365 that is divisible by both numbers.
Least Common Multiple (LCM) of 10285 and 10289 is 105822365.
LCM(10285,10289) = 105822365
LCM of 10285 and 10289
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10285 and 10289 by Prime method
- Least Common Multiple of 10285 and 10289 with GCF Formula
LCM of 10285 and 10289 is 105822365
Least common multiple can be found by multiplying the highest exponent prime factors of 10285 and 10289. First we will calculate the prime factors of 10285 and 10289.
Prime Factorization of 10285
| 5 | 10285 |
| 11 | 2057 |
| 11 | 187 |
| 17 | 17 |
| 1 |
Prime factors of 10285 are 5, 11,17. Prime factorization of 10285 in exponential form is:
10285 = 51×112×171
Prime Factorization of 10289
| 10289 | 10289 |
| 1 |
Prime factors of 10289 are 10289. Prime factorization of 10289 in exponential form is:
10289 = 102891
Now multiplying the highest exponent prime factors to calculate the LCM of 10285 and 10289.
LCM(10285,10289) = 51×112×171×102891
LCM(10285,10289) = 105822365
Factors of 10285
List of positive integer factors of 10285 that divides 10285 without a remainder.
1, 5, 11, 17, 55, 85, 121, 187, 605, 935, 2057, 10285
Factors of 10289
List of positive integer factors of 10289 that divides 10289 without a remainder.
1, 10289
Least Common Multiple of 10285 and 10289 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10285 and 10289, than apply into the LCM equation.
GCF(10285,10289) = 1
LCM(10285,10289) = ( 10285 × 10289) / 1
LCM(10285,10289) = 105822365 / 1
LCM(10285,10289) = 105822365
Properties of LCM 10285 and 10289
(i) The LCM of 10289 and 10285 is associative
LCM of 10285 and 10289 = LCM of 10289 and 10285
Related Least Common Multiples of 10285
Related Least Common Multiples of 10289
Frequently Asked Questions on LCM of 10285 and 10289
1. What is the LCM of 10285 and 10289?
Answer: LCM of 10285 and 10289 is 105822365.
2. What are the Factors of 10285?
Answer: Factors of 10285 are 1, 5, 11, 17, 55, 85, 121, 187, 605, 935, 2057, 10285. There are 12 integers that are factors of 10285. The greatest factor of 10285 is 10285.
3. What are the Factors of 10289?
Answer: Factors of 10289 are 1, 10289. There are 2 integers that are factors of 10289. The greatest factor of 10289 is 10289.
4. How to Find the LCM of 10285 and 10289?
Answer:
Least Common Multiple of 10285 and 10289 = 105822365
Step 1: Find the prime factorization of 10285
10285 = 5 x 11 x 11 x 17
Step 2: Find the prime factorization of 10289
10289 = 10289
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 105822365 = 5 x 11 x 11 x 17 x 10289
Step 4: Therefore, the least common multiple of 10285 and 10289 is 105822365.