Least Common Multiple of 1320 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 1320 and 1326 the smallest integer that is 291720 that is divisible by both numbers.

Least Common Multiple (LCM) of 1320 and 1326 is 291720.

LCM(1320,1326) = 291720

LCM of 1320 and 1326

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

LCM of:
and

Least Common Multiple of 1320 and 1326

LCM of 1320 and 1326 is 291720

Least common multiple can be found by multiplying the highest exponent prime factors of 1320 and 1326. First we will calculate the prime factors of 1320 and 1326.

Prime Factorization of 1320


2 1320
2 660
2 330
3 165
5 55
11 11
1

Prime factors of 1320 are 2, 3, 5,11. Prime factorization of 1320 in exponential form is:

1320 = 23×31×51×111

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 1320 and 1326.

LCM(1320,1326) = 23×31×51×111×131×171
LCM(1320,1326) = 291720

Factors of 1320

List of positive integer factors of 1320 that divides 1320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, 1320

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 1320 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 1320 and 1326, than apply into the LCM equation.

GCF(1320,1326) = 6
LCM(1320,1326) = ( 1320 × 1326) / 6
LCM(1320,1326) = 1750320 / 6
LCM(1320,1326) = 291720

Properties of LCM 1320 and 1326

(i) The LCM of 1326 and 1320 is associative

LCM of 1320 and 1326 = LCM of 1326 and 1320

Related Least Common Multiples of 1320

Related Least Common Multiples of 1326

Frequently Asked Questions on LCM of 1320 and 1326

1. What is the LCM of 1320 and 1326?

Answer: LCM of 1320 and 1326 is 291720.

2. What are the Factors of 1320?

Answer: Factors of 1320 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, 1320. There are 32 integers that are factors of 1320. The greatest factor of 1320 is 1320.

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 1320 and 1326?

Answer:

Least Common Multiple of 1320 and 1326 = 291720

Step 1: Find the prime factorization of 1320

1320 = 2 x 2 x 2 x 3 x 5 x 11

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 = 291720 = 2 x 2 x 2 x 3 x 5 x 11 x 13 x 17

Step 4: Therefore, the least common multiple of 1320 and 1326 is 291720.