Least Common Multiple of 26323 and 26331
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 26323 and 26331 the smallest integer that is 693110913 that is divisible by both numbers.
Least Common Multiple (LCM) of 26323 and 26331 is 693110913.
LCM(26323,26331) = 693110913
LCM of 26323 and 26331
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 26323 and 26331 by Prime method
- Least Common Multiple of 26323 and 26331 with GCF Formula
LCM of 26323 and 26331 is 693110913
Least common multiple can be found by multiplying the highest exponent prime factors of 26323 and 26331. First we will calculate the prime factors of 26323 and 26331.
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
Prime Factorization of 26331
| 3 | 26331 |
| 67 | 8777 |
| 131 | 131 |
| 1 |
Prime factors of 26331 are 3, 67,131. Prime factorization of 26331 in exponential form is:
26331 = 31×671×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 26323 and 26331.
LCM(26323,26331) = 31×111×671×1311×23931
LCM(26323,26331) = 693110913
Factors of 26323
List of positive integer factors of 26323 that divides 26323 without a remainder.
1, 11, 2393, 26323
Factors of 26331
List of positive integer factors of 26331 that divides 26331 without a remainder.
1, 3, 67, 131, 201, 393, 8777, 26331
Least Common Multiple of 26323 and 26331 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26323 and 26331, than apply into the LCM equation.
GCF(26323,26331) = 1
LCM(26323,26331) = ( 26323 × 26331) / 1
LCM(26323,26331) = 693110913 / 1
LCM(26323,26331) = 693110913
Properties of LCM 26323 and 26331
(i) The LCM of 26331 and 26323 is associative
LCM of 26323 and 26331 = LCM of 26331 and 26323
Related Least Common Multiples of 26323
Related Least Common Multiples of 26331
Frequently Asked Questions on LCM of 26323 and 26331
1. What is the LCM of 26323 and 26331?
Answer: LCM of 26323 and 26331 is 693110913.
2. 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.
3. What are the Factors of 26331?
Answer: Factors of 26331 are 1, 3, 67, 131, 201, 393, 8777, 26331. There are 8 integers that are factors of 26331. The greatest factor of 26331 is 26331.
4. How to Find the LCM of 26323 and 26331?
Answer:
Least Common Multiple of 26323 and 26331 = 693110913
Step 1: Find the prime factorization of 26323
26323 = 11 x 2393
Step 2: Find the prime factorization of 26331
26331 = 3 x 67 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 693110913 = 3 x 11 x 67 x 131 x 2393
Step 4: Therefore, the least common multiple of 26323 and 26331 is 693110913.