Least Common Multiple of 317 and 319

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 319 the smallest integer that is 101123 that is divisible by both numbers.

Least Common Multiple (LCM) of 317 and 319 is 101123.

LCM(317,319) = 101123

LCM of 317 and 319

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

LCM of:
and

Least Common Multiple of 317 and 319

LCM of 317 and 319 is 101123

Least common multiple can be found by multiplying the highest exponent prime factors of 317 and 319. First we will calculate the prime factors of 317 and 319.

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 319


11 319
29 29
1

Prime factors of 319 are 11,29. Prime factorization of 319 in exponential form is:

319 = 111×291

Now multiplying the highest exponent prime factors to calculate the LCM of 317 and 319.

LCM(317,319) = 111×291×3171
LCM(317,319) = 101123

Factors of 317

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

1, 317

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Least Common Multiple of 317 and 319 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 319, than apply into the LCM equation.

GCF(317,319) = 1
LCM(317,319) = ( 317 × 319) / 1
LCM(317,319) = 101123 / 1
LCM(317,319) = 101123

Properties of LCM 317 and 319

(i) The LCM of 319 and 317 is associative

LCM of 317 and 319 = LCM of 319 and 317

Related Least Common Multiples of 317

Related Least Common Multiples of 319

Frequently Asked Questions on LCM of 317 and 319

1. What is the LCM of 317 and 319?

Answer: LCM of 317 and 319 is 101123.

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 319?

Answer: Factors of 319 are 1, 11, 29, 319. There are 4 integers that are factors of 319. The greatest factor of 319 is 319.

4. How to Find the LCM of 317 and 319?

Answer:

Least Common Multiple of 317 and 319 = 101123

Step 1: Find the prime factorization of 317

317 = 317

Step 2: Find the prime factorization of 319

319 = 11 x 29

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

LCM = 101123 = 11 x 29 x 317

Step 4: Therefore, the least common multiple of 317 and 319 is 101123.