Least Common Multiple of 26310 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 26310 and 26315 the smallest integer that is 138469530 that is divisible by both numbers.
Least Common Multiple (LCM) of 26310 and 26315 is 138469530.
LCM(26310,26315) = 138469530
LCM of 26310 and 26315
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 26310 and 26315 by Prime method
- Least Common Multiple of 26310 and 26315 with GCF Formula
LCM of 26310 and 26315 is 138469530
Least common multiple can be found by multiplying the highest exponent prime factors of 26310 and 26315. First we will calculate the prime factors of 26310 and 26315.
Prime Factorization of 26310
| 2 | 26310 |
| 3 | 13155 |
| 5 | 4385 |
| 877 | 877 |
| 1 |
Prime factors of 26310 are 2, 3, 5,877. Prime factorization of 26310 in exponential form is:
26310 = 21×31×51×8771
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 26310 and 26315.
LCM(26310,26315) = 21×31×51×191×2771×8771
LCM(26310,26315) = 138469530
Factors of 26310
List of positive integer factors of 26310 that divides 26310 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 877, 1754, 2631, 4385, 5262, 8770, 13155, 26310
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 26310 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 26310 and 26315, than apply into the LCM equation.
GCF(26310,26315) = 5
LCM(26310,26315) = ( 26310 × 26315) / 5
LCM(26310,26315) = 692347650 / 5
LCM(26310,26315) = 138469530
Properties of LCM 26310 and 26315
(i) The LCM of 26315 and 26310 is associative
LCM of 26310 and 26315 = LCM of 26315 and 26310
Related Least Common Multiples of 26310
Related Least Common Multiples of 26315
Frequently Asked Questions on LCM of 26310 and 26315
1. What is the LCM of 26310 and 26315?
Answer: LCM of 26310 and 26315 is 138469530.
2. What are the Factors of 26310?
Answer: Factors of 26310 are 1, 2, 3, 5, 6, 10, 15, 30, 877, 1754, 2631, 4385, 5262, 8770, 13155, 26310. There are 16 integers that are factors of 26310. The greatest factor of 26310 is 26310.
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 26310 and 26315?
Answer:
Least Common Multiple of 26310 and 26315 = 138469530
Step 1: Find the prime factorization of 26310
26310 = 2 x 3 x 5 x 877
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 = 138469530 = 2 x 3 x 5 x 19 x 277 x 877
Step 4: Therefore, the least common multiple of 26310 and 26315 is 138469530.