Least Common Multiple of 323 and 326
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 323 and 326 the smallest integer that is 105298 that is divisible by both numbers.
Least Common Multiple (LCM) of 323 and 326 is 105298.
LCM(323,326) = 105298
LCM of 323 and 326
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 323 and 326 by Prime method
- Least Common Multiple of 323 and 326 with GCF Formula
LCM of 323 and 326 is 105298
Least common multiple can be found by multiplying the highest exponent prime factors of 323 and 326. First we will calculate the prime factors of 323 and 326.
Prime Factorization of 323
| 17 | 323 |
| 19 | 19 |
| 1 |
Prime factors of 323 are 17,19. Prime factorization of 323 in exponential form is:
323 = 171×191
Prime Factorization of 326
| 2 | 326 |
| 163 | 163 |
| 1 |
Prime factors of 326 are 2,163. Prime factorization of 326 in exponential form is:
326 = 21×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 323 and 326.
LCM(323,326) = 21×171×191×1631
LCM(323,326) = 105298
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Least Common Multiple of 323 and 326 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 323 and 326, than apply into the LCM equation.
GCF(323,326) = 1
LCM(323,326) = ( 323 × 326) / 1
LCM(323,326) = 105298 / 1
LCM(323,326) = 105298
Properties of LCM 323 and 326
(i) The LCM of 326 and 323 is associative
LCM of 323 and 326 = LCM of 326 and 323
Related Least Common Multiples of 323
Related Least Common Multiples of 326
Frequently Asked Questions on LCM of 323 and 326
1. What is the LCM of 323 and 326?
Answer: LCM of 323 and 326 is 105298.
2. What are the Factors of 323?
Answer: Factors of 323 are 1, 17, 19, 323. There are 4 integers that are factors of 323. The greatest factor of 323 is 323.
3. What are the Factors of 326?
Answer: Factors of 326 are 1, 2, 163, 326. There are 4 integers that are factors of 326. The greatest factor of 326 is 326.
4. How to Find the LCM of 323 and 326?
Answer:
Least Common Multiple of 323 and 326 = 105298
Step 1: Find the prime factorization of 323
323 = 17 x 19
Step 2: Find the prime factorization of 326
326 = 2 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 105298 = 2 x 17 x 19 x 163
Step 4: Therefore, the least common multiple of 323 and 326 is 105298.