Least Common Multiple of 26323 and 26329
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 26329 the smallest integer that is 693058267 that is divisible by both numbers.
Least Common Multiple (LCM) of 26323 and 26329 is 693058267.
LCM(26323,26329) = 693058267
LCM of 26323 and 26329
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 26323 and 26329 by Prime method
- Least Common Multiple of 26323 and 26329 with GCF Formula
LCM of 26323 and 26329 is 693058267
Least common multiple can be found by multiplying the highest exponent prime factors of 26323 and 26329. First we will calculate the prime factors of 26323 and 26329.
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 26329
| 113 | 26329 |
| 233 | 233 |
| 1 |
Prime factors of 26329 are 113,233. Prime factorization of 26329 in exponential form is:
26329 = 1131×2331
Now multiplying the highest exponent prime factors to calculate the LCM of 26323 and 26329.
LCM(26323,26329) = 111×1131×2331×23931
LCM(26323,26329) = 693058267
Factors of 26323
List of positive integer factors of 26323 that divides 26323 without a remainder.
1, 11, 2393, 26323
Factors of 26329
List of positive integer factors of 26329 that divides 26329 without a remainder.
1, 113, 233, 26329
Least Common Multiple of 26323 and 26329 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 26329, than apply into the LCM equation.
GCF(26323,26329) = 1
LCM(26323,26329) = ( 26323 × 26329) / 1
LCM(26323,26329) = 693058267 / 1
LCM(26323,26329) = 693058267
Properties of LCM 26323 and 26329
(i) The LCM of 26329 and 26323 is associative
LCM of 26323 and 26329 = LCM of 26329 and 26323
Related Least Common Multiples of 26323
Related Least Common Multiples of 26329
Frequently Asked Questions on LCM of 26323 and 26329
1. What is the LCM of 26323 and 26329?
Answer: LCM of 26323 and 26329 is 693058267.
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 26329?
Answer: Factors of 26329 are 1, 113, 233, 26329. There are 4 integers that are factors of 26329. The greatest factor of 26329 is 26329.
4. How to Find the LCM of 26323 and 26329?
Answer:
Least Common Multiple of 26323 and 26329 = 693058267
Step 1: Find the prime factorization of 26323
26323 = 11 x 2393
Step 2: Find the prime factorization of 26329
26329 = 113 x 233
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 693058267 = 11 x 113 x 233 x 2393
Step 4: Therefore, the least common multiple of 26323 and 26329 is 693058267.