Least Common Multiple of 1326 and 1332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1326 and 1332 the smallest integer that is 294372 that is divisible by both numbers.

Least Common Multiple (LCM) of 1326 and 1332 is 294372.

LCM(1326,1332) = 294372

LCM of 1326 and 1332

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

LCM of:
and

Least Common Multiple of 1326 and 1332

LCM of 1326 and 1332 is 294372

Least common multiple can be found by multiplying the highest exponent prime factors of 1326 and 1332. First we will calculate the prime factors of 1326 and 1332.

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

Prime Factorization of 1332


2 1332
2 666
3 333
3 111
37 37
1

Prime factors of 1332 are 2, 3,37. Prime factorization of 1332 in exponential form is:

1332 = 22×32×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1326 and 1332.

LCM(1326,1332) = 22×32×131×171×371
LCM(1326,1332) = 294372

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

Factors of 1332

List of positive integer factors of 1332 that divides 1332 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 74, 111, 148, 222, 333, 444, 666, 1332

Least Common Multiple of 1326 and 1332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1326 and 1332, than apply into the LCM equation.

GCF(1326,1332) = 6
LCM(1326,1332) = ( 1326 × 1332) / 6
LCM(1326,1332) = 1766232 / 6
LCM(1326,1332) = 294372

Properties of LCM 1326 and 1332

(i) The LCM of 1332 and 1326 is associative

LCM of 1326 and 1332 = LCM of 1332 and 1326

Related Least Common Multiples of 1326

Related Least Common Multiples of 1332

Frequently Asked Questions on LCM of 1326 and 1332

1. What is the LCM of 1326 and 1332?

Answer: LCM of 1326 and 1332 is 294372.

2. 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.

3. What are the Factors of 1332?

Answer: Factors of 1332 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 74, 111, 148, 222, 333, 444, 666, 1332. There are 18 integers that are factors of 1332. The greatest factor of 1332 is 1332.

4. How to Find the LCM of 1326 and 1332?

Answer:

Least Common Multiple of 1326 and 1332 = 294372

Step 1: Find the prime factorization of 1326

1326 = 2 x 3 x 13 x 17

Step 2: Find the prime factorization of 1332

1332 = 2 x 2 x 3 x 3 x 37

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 294372 = 2 x 2 x 3 x 3 x 13 x 17 x 37

Step 4: Therefore, the least common multiple of 1326 and 1332 is 294372.