Least Common Multiple of 1323 and 1331

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 1331 the smallest integer that is 1760913 that is divisible by both numbers.

Least Common Multiple (LCM) of 1323 and 1331 is 1760913.

LCM(1323,1331) = 1760913

LCM of 1323 and 1331

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

LCM of:
and

Least Common Multiple of 1323 and 1331

LCM of 1323 and 1331 is 1760913

Least common multiple can be found by multiplying the highest exponent prime factors of 1323 and 1331. First we will calculate the prime factors of 1323 and 1331.

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 1331


11 1331
11 121
11 11
1

Prime factors of 1331 are 11. Prime factorization of 1331 in exponential form is:

1331 = 113

Now multiplying the highest exponent prime factors to calculate the LCM of 1323 and 1331.

LCM(1323,1331) = 33×72×113
LCM(1323,1331) = 1760913

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 1331

List of positive integer factors of 1331 that divides 1331 without a remainder.

1, 11, 121, 1331

Least Common Multiple of 1323 and 1331 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 1331, than apply into the LCM equation.

GCF(1323,1331) = 1
LCM(1323,1331) = ( 1323 × 1331) / 1
LCM(1323,1331) = 1760913 / 1
LCM(1323,1331) = 1760913

Properties of LCM 1323 and 1331

(i) The LCM of 1331 and 1323 is associative

LCM of 1323 and 1331 = LCM of 1331 and 1323

Related Least Common Multiples of 1323

Related Least Common Multiples of 1331

Frequently Asked Questions on LCM of 1323 and 1331

1. What is the LCM of 1323 and 1331?

Answer: LCM of 1323 and 1331 is 1760913.

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 1331?

Answer: Factors of 1331 are 1, 11, 121, 1331. There are 4 integers that are factors of 1331. The greatest factor of 1331 is 1331.

4. How to Find the LCM of 1323 and 1331?

Answer:

Least Common Multiple of 1323 and 1331 = 1760913

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 1331

1331 = 11 x 11 x 11

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

LCM = 1760913 = 3 x 3 x 3 x 7 x 7 x 11 x 11 x 11

Step 4: Therefore, the least common multiple of 1323 and 1331 is 1760913.