Least Common Multiple of 317 and 323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 317 and 323 the smallest integer that is 102391 that is divisible by both numbers.

Least Common Multiple (LCM) of 317 and 323 is 102391.

LCM(317,323) = 102391

LCM of 317 and 323

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

LCM of:
and

Least Common Multiple of 317 and 323

LCM of 317 and 323 is 102391

Least common multiple can be found by multiplying the highest exponent prime factors of 317 and 323. First we will calculate the prime factors of 317 and 323.

Prime Factorization of 317


317 317
1

Prime factors of 317 are 317. Prime factorization of 317 in exponential form is:

317 = 3171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 317 and 323.

LCM(317,323) = 171×191×3171
LCM(317,323) = 102391

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1, 317

Factors of 323

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

1, 17, 19, 323

Least Common Multiple of 317 and 323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 317 and 323, than apply into the LCM equation.

GCF(317,323) = 1
LCM(317,323) = ( 317 × 323) / 1
LCM(317,323) = 102391 / 1
LCM(317,323) = 102391

Properties of LCM 317 and 323

(i) The LCM of 323 and 317 is associative

LCM of 317 and 323 = LCM of 323 and 317

Related Least Common Multiples of 317

Related Least Common Multiples of 323

Frequently Asked Questions on LCM of 317 and 323

1. What is the LCM of 317 and 323?

Answer: LCM of 317 and 323 is 102391.

2. What are the Factors of 317?

Answer: Factors of 317 are 1, 317. There are 2 integers that are factors of 317. The greatest factor of 317 is 317.

3. 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.

4. How to Find the LCM of 317 and 323?

Answer:

Least Common Multiple of 317 and 323 = 102391

Step 1: Find the prime factorization of 317

317 = 317

Step 2: Find the prime factorization of 323

323 = 17 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 = 102391 = 17 x 19 x 317

Step 4: Therefore, the least common multiple of 317 and 323 is 102391.