Least Common Multiple of 26315 and 26317
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 26317 the smallest integer that is 692531855 that is divisible by both numbers.
Least Common Multiple (LCM) of 26315 and 26317 is 692531855.
LCM(26315,26317) = 692531855
LCM of 26315 and 26317
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 26315 and 26317 by Prime method
- Least Common Multiple of 26315 and 26317 with GCF Formula
LCM of 26315 and 26317 is 692531855
Least common multiple can be found by multiplying the highest exponent prime factors of 26315 and 26317. First we will calculate the prime factors of 26315 and 26317.
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 26317
| 26317 | 26317 |
| 1 |
Prime factors of 26317 are 26317. Prime factorization of 26317 in exponential form is:
26317 = 263171
Now multiplying the highest exponent prime factors to calculate the LCM of 26315 and 26317.
LCM(26315,26317) = 51×191×2771×263171
LCM(26315,26317) = 692531855
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 26317
List of positive integer factors of 26317 that divides 26317 without a remainder.
1, 26317
Least Common Multiple of 26315 and 26317 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 26317, than apply into the LCM equation.
GCF(26315,26317) = 1
LCM(26315,26317) = ( 26315 × 26317) / 1
LCM(26315,26317) = 692531855 / 1
LCM(26315,26317) = 692531855
Properties of LCM 26315 and 26317
(i) The LCM of 26317 and 26315 is associative
LCM of 26315 and 26317 = LCM of 26317 and 26315
Related Least Common Multiples of 26315
Related Least Common Multiples of 26317
Frequently Asked Questions on LCM of 26315 and 26317
1. What is the LCM of 26315 and 26317?
Answer: LCM of 26315 and 26317 is 692531855.
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 26317?
Answer: Factors of 26317 are 1, 26317. There are 2 integers that are factors of 26317. The greatest factor of 26317 is 26317.
4. How to Find the LCM of 26315 and 26317?
Answer:
Least Common Multiple of 26315 and 26317 = 692531855
Step 1: Find the prime factorization of 26315
26315 = 5 x 19 x 277
Step 2: Find the prime factorization of 26317
26317 = 26317
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 692531855 = 5 x 19 x 277 x 26317
Step 4: Therefore, the least common multiple of 26315 and 26317 is 692531855.