Least Common Multiple of 317 and 320

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 320 the smallest integer that is 101440 that is divisible by both numbers.

Least Common Multiple (LCM) of 317 and 320 is 101440.

LCM(317,320) = 101440

LCM of 317 and 320

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

LCM of:
and

Least Common Multiple of 317 and 320

LCM of 317 and 320 is 101440

Least common multiple can be found by multiplying the highest exponent prime factors of 317 and 320. First we will calculate the prime factors of 317 and 320.

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 320


2 320
2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 320 are 2,5. Prime factorization of 320 in exponential form is:

320 = 26×51

Now multiplying the highest exponent prime factors to calculate the LCM of 317 and 320.

LCM(317,320) = 26×51×3171
LCM(317,320) = 101440

Factors of 317

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

1, 317

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Least Common Multiple of 317 and 320 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 320, than apply into the LCM equation.

GCF(317,320) = 1
LCM(317,320) = ( 317 × 320) / 1
LCM(317,320) = 101440 / 1
LCM(317,320) = 101440

Properties of LCM 317 and 320

(i) The LCM of 320 and 317 is associative

LCM of 317 and 320 = LCM of 320 and 317

Related Least Common Multiples of 317

Related Least Common Multiples of 320

Frequently Asked Questions on LCM of 317 and 320

1. What is the LCM of 317 and 320?

Answer: LCM of 317 and 320 is 101440.

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 320?

Answer: Factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320. There are 14 integers that are factors of 320. The greatest factor of 320 is 320.

4. How to Find the LCM of 317 and 320?

Answer:

Least Common Multiple of 317 and 320 = 101440

Step 1: Find the prime factorization of 317

317 = 317

Step 2: Find the prime factorization of 320

320 = 2 x 2 x 2 x 2 x 2 x 2 x 5

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

LCM = 101440 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 317

Step 4: Therefore, the least common multiple of 317 and 320 is 101440.