Least Common Multiple of 10279 and 10285
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10279 and 10285 the smallest integer that is 105719515 that is divisible by both numbers.
Least Common Multiple (LCM) of 10279 and 10285 is 105719515.
LCM(10279,10285) = 105719515
LCM of 10279 and 10285
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10279 and 10285 by Prime method
- Least Common Multiple of 10279 and 10285 with GCF Formula
LCM of 10279 and 10285 is 105719515
Least common multiple can be found by multiplying the highest exponent prime factors of 10279 and 10285. First we will calculate the prime factors of 10279 and 10285.
Prime Factorization of 10279
| 19 | 10279 |
| 541 | 541 |
| 1 |
Prime factors of 10279 are 19,541. Prime factorization of 10279 in exponential form is:
10279 = 191×5411
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
Now multiplying the highest exponent prime factors to calculate the LCM of 10279 and 10285.
LCM(10279,10285) = 51×112×171×191×5411
LCM(10279,10285) = 105719515
Factors of 10279
List of positive integer factors of 10279 that divides 10279 without a remainder.
1, 19, 541, 10279
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
Least Common Multiple of 10279 and 10285 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10279 and 10285, than apply into the LCM equation.
GCF(10279,10285) = 1
LCM(10279,10285) = ( 10279 × 10285) / 1
LCM(10279,10285) = 105719515 / 1
LCM(10279,10285) = 105719515
Properties of LCM 10279 and 10285
(i) The LCM of 10285 and 10279 is associative
LCM of 10279 and 10285 = LCM of 10285 and 10279
Related Least Common Multiples of 10279
Related Least Common Multiples of 10285
Frequently Asked Questions on LCM of 10279 and 10285
1. What is the LCM of 10279 and 10285?
Answer: LCM of 10279 and 10285 is 105719515.
2. What are the Factors of 10279?
Answer: Factors of 10279 are 1, 19, 541, 10279. There are 4 integers that are factors of 10279. The greatest factor of 10279 is 10279.
3. 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.
4. How to Find the LCM of 10279 and 10285?
Answer:
Least Common Multiple of 10279 and 10285 = 105719515
Step 1: Find the prime factorization of 10279
10279 = 19 x 541
Step 2: Find the prime factorization of 10285
10285 = 5 x 11 x 11 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 105719515 = 5 x 11 x 11 x 17 x 19 x 541
Step 4: Therefore, the least common multiple of 10279 and 10285 is 105719515.