Least Common Multiple of 323 and 327

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 327 the smallest integer that is 105621 that is divisible by both numbers.

Least Common Multiple (LCM) of 323 and 327 is 105621.

LCM(323,327) = 105621

LCM of 323 and 327

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

LCM of:
and

Least Common Multiple of 323 and 327

LCM of 323 and 327 is 105621

Least common multiple can be found by multiplying the highest exponent prime factors of 323 and 327. First we will calculate the prime factors of 323 and 327.

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 327


3 327
109 109
1

Prime factors of 327 are 3,109. Prime factorization of 327 in exponential form is:

327 = 31×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 323 and 327.

LCM(323,327) = 31×171×191×1091
LCM(323,327) = 105621

Factors of 323

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

1, 17, 19, 323

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Least Common Multiple of 323 and 327 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 327, than apply into the LCM equation.

GCF(323,327) = 1
LCM(323,327) = ( 323 × 327) / 1
LCM(323,327) = 105621 / 1
LCM(323,327) = 105621

Properties of LCM 323 and 327

(i) The LCM of 327 and 323 is associative

LCM of 323 and 327 = LCM of 327 and 323

Related Least Common Multiples of 323

Related Least Common Multiples of 327

Frequently Asked Questions on LCM of 323 and 327

1. What is the LCM of 323 and 327?

Answer: LCM of 323 and 327 is 105621.

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 327?

Answer: Factors of 327 are 1, 3, 109, 327. There are 4 integers that are factors of 327. The greatest factor of 327 is 327.

4. How to Find the LCM of 323 and 327?

Answer:

Least Common Multiple of 323 and 327 = 105621

Step 1: Find the prime factorization of 323

323 = 17 x 19

Step 2: Find the prime factorization of 327

327 = 3 x 109

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

LCM = 105621 = 3 x 17 x 19 x 109

Step 4: Therefore, the least common multiple of 323 and 327 is 105621.