Least Common Multiple of 1323 and 1330

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 1330 the smallest integer that is 251370 that is divisible by both numbers.

Least Common Multiple (LCM) of 1323 and 1330 is 251370.

LCM(1323,1330) = 251370

LCM of 1323 and 1330

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

LCM of:
and

Least Common Multiple of 1323 and 1330

LCM of 1323 and 1330 is 251370

Least common multiple can be found by multiplying the highest exponent prime factors of 1323 and 1330. First we will calculate the prime factors of 1323 and 1330.

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 1330


2 1330
5 665
7 133
19 19
1

Prime factors of 1330 are 2, 5, 7,19. Prime factorization of 1330 in exponential form is:

1330 = 21×51×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1323 and 1330.

LCM(1323,1330) = 21×33×51×72×191
LCM(1323,1330) = 251370

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 1330

List of positive integer factors of 1330 that divides 1330 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330

Least Common Multiple of 1323 and 1330 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 1330, than apply into the LCM equation.

GCF(1323,1330) = 7
LCM(1323,1330) = ( 1323 × 1330) / 7
LCM(1323,1330) = 1759590 / 7
LCM(1323,1330) = 251370

Properties of LCM 1323 and 1330

(i) The LCM of 1330 and 1323 is associative

LCM of 1323 and 1330 = LCM of 1330 and 1323

Related Least Common Multiples of 1323

Related Least Common Multiples of 1330

Frequently Asked Questions on LCM of 1323 and 1330

1. What is the LCM of 1323 and 1330?

Answer: LCM of 1323 and 1330 is 251370.

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 1330?

Answer: Factors of 1330 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330. There are 16 integers that are factors of 1330. The greatest factor of 1330 is 1330.

4. How to Find the LCM of 1323 and 1330?

Answer:

Least Common Multiple of 1323 and 1330 = 251370

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 1330

1330 = 2 x 5 x 7 x 19

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

LCM = 251370 = 2 x 3 x 3 x 3 x 5 x 7 x 7 x 19

Step 4: Therefore, the least common multiple of 1323 and 1330 is 251370.