Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1323 and 1326 the smallest integer that is 584766 that is divisible by both numbers.
Least Common Multiple (LCM) of 1323 and 1326 is 584766.
LCM(1323,1326) = 584766
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 1323 and 1326. First we will calculate the prime factors of 1323 and 1326.
Prime Factorization of 1323
3 | 1323 |
3 | 441 |
3 | 147 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 1323 are 3,7. Prime factorization of 1323 in exponential form is:
1323 = 33×72
Prime Factorization of 1326
2 | 1326 |
3 | 663 |
13 | 221 |
17 | 17 |
1 |
Prime factors of 1326 are 2, 3, 13,17. Prime factorization of 1326 in exponential form is:
1326 = 21×31×131×171
Now multiplying the highest exponent prime factors to calculate the LCM of 1323 and 1326.
LCM(1323,1326) = 21×33×72×131×171
LCM(1323,1326) = 584766
Factors of 1323
List of positive integer factors of 1323 that divides 1323 without a remainder.
1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323
Factors of 1326
List of positive integer factors of 1326 that divides 1326 without a remainder.
1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 78, 102, 221, 442, 663, 1326
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1323 and 1326, than apply into the LCM equation.
GCF(1323,1326) = 3
LCM(1323,1326) = ( 1323 × 1326) / 3
LCM(1323,1326) = 1754298 / 3
LCM(1323,1326) = 584766
(i) The LCM of 1326 and 1323 is associative
LCM of 1323 and 1326 = LCM of 1326 and 1323
1. What is the LCM of 1323 and 1326?
Answer: LCM of 1323 and 1326 is 584766.
2. What are the Factors of 1323?
Answer: Factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323. There are 12 integers that are factors of 1323. The greatest factor of 1323 is 1323.
3. What are the Factors of 1326?
Answer: Factors of 1326 are 1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 78, 102, 221, 442, 663, 1326. There are 16 integers that are factors of 1326. The greatest factor of 1326 is 1326.
4. How to Find the LCM of 1323 and 1326?
Answer:
Least Common Multiple of 1323 and 1326 = 584766
Step 1: Find the prime factorization of 1323
1323 = 3 x 3 x 3 x 7 x 7
Step 2: Find the prime factorization of 1326
1326 = 2 x 3 x 13 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 584766 = 2 x 3 x 3 x 3 x 7 x 7 x 13 x 17
Step 4: Therefore, the least common multiple of 1323 and 1326 is 584766.