Least Common Multiple of 26315 and 26323
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 26315 and 26323 the smallest integer that is 692689745 that is divisible by both numbers.
Least Common Multiple (LCM) of 26315 and 26323 is 692689745.
LCM(26315,26323) = 692689745
LCM of 26315 and 26323
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 26315 and 26323 by Prime method
- Least Common Multiple of 26315 and 26323 with GCF Formula
LCM of 26315 and 26323 is 692689745
Least common multiple can be found by multiplying the highest exponent prime factors of 26315 and 26323. First we will calculate the prime factors of 26315 and 26323.
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
Prime Factorization of 26323
| 11 | 26323 |
| 2393 | 2393 |
| 1 |
Prime factors of 26323 are 11,2393. Prime factorization of 26323 in exponential form is:
26323 = 111×23931
Now multiplying the highest exponent prime factors to calculate the LCM of 26315 and 26323.
LCM(26315,26323) = 51×111×191×2771×23931
LCM(26315,26323) = 692689745
Factors of 26315
List of positive integer factors of 26315 that divides 26315 without a remainder.
1, 5, 19, 95, 277, 1385, 5263, 26315
Factors of 26323
List of positive integer factors of 26323 that divides 26323 without a remainder.
1, 11, 2393, 26323
Least Common Multiple of 26315 and 26323 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26315 and 26323, than apply into the LCM equation.
GCF(26315,26323) = 1
LCM(26315,26323) = ( 26315 × 26323) / 1
LCM(26315,26323) = 692689745 / 1
LCM(26315,26323) = 692689745
Properties of LCM 26315 and 26323
(i) The LCM of 26323 and 26315 is associative
LCM of 26315 and 26323 = LCM of 26323 and 26315
Related Least Common Multiples of 26315
Related Least Common Multiples of 26323
Frequently Asked Questions on LCM of 26315 and 26323
1. What is the LCM of 26315 and 26323?
Answer: LCM of 26315 and 26323 is 692689745.
2. 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.
3. What are the Factors of 26323?
Answer: Factors of 26323 are 1, 11, 2393, 26323. There are 4 integers that are factors of 26323. The greatest factor of 26323 is 26323.
4. How to Find the LCM of 26315 and 26323?
Answer:
Least Common Multiple of 26315 and 26323 = 692689745
Step 1: Find the prime factorization of 26315
26315 = 5 x 19 x 277
Step 2: Find the prime factorization of 26323
26323 = 11 x 2393
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 692689745 = 5 x 11 x 19 x 277 x 2393
Step 4: Therefore, the least common multiple of 26315 and 26323 is 692689745.