Least Common Multiple of 1323 and 1326

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

LCM of 1323 and 1326

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1323 and 1326

LCM of 1323 and 1326 is 584766

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

Least Common Multiple of 1323 and 1326 with GCF Formula

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

Properties of LCM 1323 and 1326

(i) The LCM of 1326 and 1323 is associative

LCM of 1323 and 1326 = LCM of 1326 and 1323

Frequently Asked Questions on LCM of 1323 and 1326

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.