Least Common Multiple of 323 and 331

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 331 the smallest integer that is 106913 that is divisible by both numbers.

Least Common Multiple (LCM) of 323 and 331 is 106913.

LCM(323,331) = 106913

LCM of 323 and 331

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

LCM of:
and

Least Common Multiple of 323 and 331

LCM of 323 and 331 is 106913

Least common multiple can be found by multiplying the highest exponent prime factors of 323 and 331. First we will calculate the prime factors of 323 and 331.

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 331


331 331
1

Prime factors of 331 are 331. Prime factorization of 331 in exponential form is:

331 = 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 323 and 331.

LCM(323,331) = 171×191×3311
LCM(323,331) = 106913

Factors of 323

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

1, 17, 19, 323

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1, 331

Least Common Multiple of 323 and 331 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 331, than apply into the LCM equation.

GCF(323,331) = 1
LCM(323,331) = ( 323 × 331) / 1
LCM(323,331) = 106913 / 1
LCM(323,331) = 106913

Properties of LCM 323 and 331

(i) The LCM of 331 and 323 is associative

LCM of 323 and 331 = LCM of 331 and 323

Related Least Common Multiples of 323

Related Least Common Multiples of 331

Frequently Asked Questions on LCM of 323 and 331

1. What is the LCM of 323 and 331?

Answer: LCM of 323 and 331 is 106913.

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 331?

Answer: Factors of 331 are 1, 331. There are 2 integers that are factors of 331. The greatest factor of 331 is 331.

4. How to Find the LCM of 323 and 331?

Answer:

Least Common Multiple of 323 and 331 = 106913

Step 1: Find the prime factorization of 323

323 = 17 x 19

Step 2: Find the prime factorization of 331

331 = 331

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

LCM = 106913 = 17 x 19 x 331

Step 4: Therefore, the least common multiple of 323 and 331 is 106913.