Least Common Multiple of 26319 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 26319 and 26323 the smallest integer that is 692795037 that is divisible by both numbers.
Least Common Multiple (LCM) of 26319 and 26323 is 692795037.
LCM(26319,26323) = 692795037
LCM of 26319 and 26323
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 26319 and 26323 by Prime method
- Least Common Multiple of 26319 and 26323 with GCF Formula
LCM of 26319 and 26323 is 692795037
Least common multiple can be found by multiplying the highest exponent prime factors of 26319 and 26323. First we will calculate the prime factors of 26319 and 26323.
Prime Factorization of 26319
| 3 | 26319 |
| 31 | 8773 |
| 283 | 283 |
| 1 |
Prime factors of 26319 are 3, 31,283. Prime factorization of 26319 in exponential form is:
26319 = 31×311×2831
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 26319 and 26323.
LCM(26319,26323) = 31×111×311×2831×23931
LCM(26319,26323) = 692795037
Factors of 26319
List of positive integer factors of 26319 that divides 26319 without a remainder.
1, 3, 31, 93, 283, 849, 8773, 26319
Factors of 26323
List of positive integer factors of 26323 that divides 26323 without a remainder.
1, 11, 2393, 26323
Least Common Multiple of 26319 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 26319 and 26323, than apply into the LCM equation.
GCF(26319,26323) = 1
LCM(26319,26323) = ( 26319 × 26323) / 1
LCM(26319,26323) = 692795037 / 1
LCM(26319,26323) = 692795037
Properties of LCM 26319 and 26323
(i) The LCM of 26323 and 26319 is associative
LCM of 26319 and 26323 = LCM of 26323 and 26319
Related Least Common Multiples of 26319
Related Least Common Multiples of 26323
Frequently Asked Questions on LCM of 26319 and 26323
1. What is the LCM of 26319 and 26323?
Answer: LCM of 26319 and 26323 is 692795037.
2. What are the Factors of 26319?
Answer: Factors of 26319 are 1, 3, 31, 93, 283, 849, 8773, 26319. There are 8 integers that are factors of 26319. The greatest factor of 26319 is 26319.
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 26319 and 26323?
Answer:
Least Common Multiple of 26319 and 26323 = 692795037
Step 1: Find the prime factorization of 26319
26319 = 3 x 31 x 283
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 = 692795037 = 3 x 11 x 31 x 283 x 2393
Step 4: Therefore, the least common multiple of 26319 and 26323 is 692795037.