Least Common Multiple of 26308 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 26308 and 26315 the smallest integer that is 692295020 that is divisible by both numbers.
Least Common Multiple (LCM) of 26308 and 26315 is 692295020.
LCM(26308,26315) = 692295020
LCM of 26308 and 26315
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 26308 and 26315 by Prime method
- Least Common Multiple of 26308 and 26315 with GCF Formula
LCM of 26308 and 26315 is 692295020
Least common multiple can be found by multiplying the highest exponent prime factors of 26308 and 26315. First we will calculate the prime factors of 26308 and 26315.
Prime Factorization of 26308
| 2 | 26308 |
| 2 | 13154 |
| 6577 | 6577 |
| 1 |
Prime factors of 26308 are 2,6577. Prime factorization of 26308 in exponential form is:
26308 = 22×65771
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 26308 and 26315.
LCM(26308,26315) = 22×51×191×2771×65771
LCM(26308,26315) = 692295020
Factors of 26308
List of positive integer factors of 26308 that divides 26308 without a remainder.
1, 2, 4, 6577, 13154, 26308
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 26308 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 26308 and 26315, than apply into the LCM equation.
GCF(26308,26315) = 1
LCM(26308,26315) = ( 26308 × 26315) / 1
LCM(26308,26315) = 692295020 / 1
LCM(26308,26315) = 692295020
Properties of LCM 26308 and 26315
(i) The LCM of 26315 and 26308 is associative
LCM of 26308 and 26315 = LCM of 26315 and 26308
Related Least Common Multiples of 26308
Related Least Common Multiples of 26315
Frequently Asked Questions on LCM of 26308 and 26315
1. What is the LCM of 26308 and 26315?
Answer: LCM of 26308 and 26315 is 692295020.
2. What are the Factors of 26308?
Answer: Factors of 26308 are 1, 2, 4, 6577, 13154, 26308. There are 6 integers that are factors of 26308. The greatest factor of 26308 is 26308.
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 26308 and 26315?
Answer:
Least Common Multiple of 26308 and 26315 = 692295020
Step 1: Find the prime factorization of 26308
26308 = 2 x 2 x 6577
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 = 692295020 = 2 x 2 x 5 x 19 x 277 x 6577
Step 4: Therefore, the least common multiple of 26308 and 26315 is 692295020.