Least Common Multiple of 26310 and 26316
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 26316 the smallest integer that is 115395660 that is divisible by both numbers.
Least Common Multiple (LCM) of 26310 and 26316 is 115395660.
LCM(26310,26316) = 115395660
LCM of 26310 and 26316
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 26310 and 26316 by Prime method
- Least Common Multiple of 26310 and 26316 with GCF Formula
LCM of 26310 and 26316 is 115395660
Least common multiple can be found by multiplying the highest exponent prime factors of 26310 and 26316. First we will calculate the prime factors of 26310 and 26316.
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 26316
| 2 | 26316 |
| 2 | 13158 |
| 3 | 6579 |
| 3 | 2193 |
| 17 | 731 |
| 43 | 43 |
| 1 |
Prime factors of 26316 are 2, 3, 17,43. Prime factorization of 26316 in exponential form is:
26316 = 22×32×171×431
Now multiplying the highest exponent prime factors to calculate the LCM of 26310 and 26316.
LCM(26310,26316) = 22×32×51×171×431×8771
LCM(26310,26316) = 115395660
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 26316
List of positive integer factors of 26316 that divides 26316 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 43, 51, 68, 86, 102, 129, 153, 172, 204, 258, 306, 387, 516, 612, 731, 774, 1462, 1548, 2193, 2924, 4386, 6579, 8772, 13158, 26316
Least Common Multiple of 26310 and 26316 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 26316, than apply into the LCM equation.
GCF(26310,26316) = 6
LCM(26310,26316) = ( 26310 × 26316) / 6
LCM(26310,26316) = 692373960 / 6
LCM(26310,26316) = 115395660
Properties of LCM 26310 and 26316
(i) The LCM of 26316 and 26310 is associative
LCM of 26310 and 26316 = LCM of 26316 and 26310
Related Least Common Multiples of 26310
Related Least Common Multiples of 26316
Frequently Asked Questions on LCM of 26310 and 26316
1. What is the LCM of 26310 and 26316?
Answer: LCM of 26310 and 26316 is 115395660.
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 26316?
Answer: Factors of 26316 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 43, 51, 68, 86, 102, 129, 153, 172, 204, 258, 306, 387, 516, 612, 731, 774, 1462, 1548, 2193, 2924, 4386, 6579, 8772, 13158, 26316. There are 36 integers that are factors of 26316. The greatest factor of 26316 is 26316.
4. How to Find the LCM of 26310 and 26316?
Answer:
Least Common Multiple of 26310 and 26316 = 115395660
Step 1: Find the prime factorization of 26310
26310 = 2 x 3 x 5 x 877
Step 2: Find the prime factorization of 26316
26316 = 2 x 2 x 3 x 3 x 17 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 115395660 = 2 x 2 x 3 x 3 x 5 x 17 x 43 x 877
Step 4: Therefore, the least common multiple of 26310 and 26316 is 115395660.