Least Common Multiple of 26311 and 26315
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 26311 and 26315 the smallest integer that is 692373965 that is divisible by both numbers.
Least Common Multiple (LCM) of 26311 and 26315 is 692373965.
LCM(26311,26315) = 692373965
LCM of 26311 and 26315
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 26311 and 26315 by Prime method
- Least Common Multiple of 26311 and 26315 with GCF Formula
LCM of 26311 and 26315 is 692373965
Least common multiple can be found by multiplying the highest exponent prime factors of 26311 and 26315. First we will calculate the prime factors of 26311 and 26315.
Prime Factorization of 26311
| 83 | 26311 |
| 317 | 317 |
| 1 |
Prime factors of 26311 are 83,317. Prime factorization of 26311 in exponential form is:
26311 = 831×3171
Prime Factorization of 26315
| 5 | 26315 |
| 19 | 5263 |
| 277 | 277 |
| 1 |
Prime factors of 26315 are 5, 19,277. Prime factorization of 26315 in exponential form is:
26315 = 51×191×2771
Now multiplying the highest exponent prime factors to calculate the LCM of 26311 and 26315.
LCM(26311,26315) = 51×191×831×2771×3171
LCM(26311,26315) = 692373965
Factors of 26311
List of positive integer factors of 26311 that divides 26311 without a remainder.
1, 83, 317, 26311
Factors of 26315
List of positive integer factors of 26315 that divides 26315 without a remainder.
1, 5, 19, 95, 277, 1385, 5263, 26315
Least Common Multiple of 26311 and 26315 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26311 and 26315, than apply into the LCM equation.
GCF(26311,26315) = 1
LCM(26311,26315) = ( 26311 × 26315) / 1
LCM(26311,26315) = 692373965 / 1
LCM(26311,26315) = 692373965
Properties of LCM 26311 and 26315
(i) The LCM of 26315 and 26311 is associative
LCM of 26311 and 26315 = LCM of 26315 and 26311
Related Least Common Multiples of 26311
Related Least Common Multiples of 26315
Frequently Asked Questions on LCM of 26311 and 26315
1. What is the LCM of 26311 and 26315?
Answer: LCM of 26311 and 26315 is 692373965.
2. What are the Factors of 26311?
Answer: Factors of 26311 are 1, 83, 317, 26311. There are 4 integers that are factors of 26311. The greatest factor of 26311 is 26311.
3. What are the Factors of 26315?
Answer: Factors of 26315 are 1, 5, 19, 95, 277, 1385, 5263, 26315. There are 8 integers that are factors of 26315. The greatest factor of 26315 is 26315.
4. How to Find the LCM of 26311 and 26315?
Answer:
Least Common Multiple of 26311 and 26315 = 692373965
Step 1: Find the prime factorization of 26311
26311 = 83 x 317
Step 2: Find the prime factorization of 26315
26315 = 5 x 19 x 277
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 692373965 = 5 x 19 x 83 x 277 x 317
Step 4: Therefore, the least common multiple of 26311 and 26315 is 692373965.