Least Common Multiple of 323 and 330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 323 and 330 the smallest integer that is 106590 that is divisible by both numbers.

Least Common Multiple (LCM) of 323 and 330 is 106590.

LCM(323,330) = 106590

LCM of 323 and 330

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

LCM of:
and

Least Common Multiple of 323 and 330

LCM of 323 and 330 is 106590

Least common multiple can be found by multiplying the highest exponent prime factors of 323 and 330. First we will calculate the prime factors of 323 and 330.

Prime Factorization of 323


17 323
19 19
1

Prime factors of 323 are 17,19. Prime factorization of 323 in exponential form is:

323 = 171×191

Prime Factorization of 330


2 330
3 165
5 55
11 11
1

Prime factors of 330 are 2, 3, 5,11. Prime factorization of 330 in exponential form is:

330 = 21×31×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 323 and 330.

LCM(323,330) = 21×31×51×111×171×191
LCM(323,330) = 106590

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Least Common Multiple of 323 and 330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 323 and 330, than apply into the LCM equation.

GCF(323,330) = 1
LCM(323,330) = ( 323 × 330) / 1
LCM(323,330) = 106590 / 1
LCM(323,330) = 106590

Properties of LCM 323 and 330

(i) The LCM of 330 and 323 is associative

LCM of 323 and 330 = LCM of 330 and 323

Related Least Common Multiples of 323

Related Least Common Multiples of 330

Frequently Asked Questions on LCM of 323 and 330

1. What is the LCM of 323 and 330?

Answer: LCM of 323 and 330 is 106590.

2. What are the Factors of 323?

Answer: Factors of 323 are 1, 17, 19, 323. There are 4 integers that are factors of 323. The greatest factor of 323 is 323.

3. What are the Factors of 330?

Answer: Factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330. There are 16 integers that are factors of 330. The greatest factor of 330 is 330.

4. How to Find the LCM of 323 and 330?

Answer:

Least Common Multiple of 323 and 330 = 106590

Step 1: Find the prime factorization of 323

323 = 17 x 19

Step 2: Find the prime factorization of 330

330 = 2 x 3 x 5 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 = 106590 = 2 x 3 x 5 x 11 x 17 x 19

Step 4: Therefore, the least common multiple of 323 and 330 is 106590.