Least Common Multiple of 317 and 321

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 321 the smallest integer that is 101757 that is divisible by both numbers.

Least Common Multiple (LCM) of 317 and 321 is 101757.

LCM(317,321) = 101757

LCM of 317 and 321

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

LCM of:
and

Least Common Multiple of 317 and 321

LCM of 317 and 321 is 101757

Least common multiple can be found by multiplying the highest exponent prime factors of 317 and 321. First we will calculate the prime factors of 317 and 321.

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 321


3 321
107 107
1

Prime factors of 321 are 3,107. Prime factorization of 321 in exponential form is:

321 = 31×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 317 and 321.

LCM(317,321) = 31×1071×3171
LCM(317,321) = 101757

Factors of 317

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

1, 317

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Least Common Multiple of 317 and 321 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 321, than apply into the LCM equation.

GCF(317,321) = 1
LCM(317,321) = ( 317 × 321) / 1
LCM(317,321) = 101757 / 1
LCM(317,321) = 101757

Properties of LCM 317 and 321

(i) The LCM of 321 and 317 is associative

LCM of 317 and 321 = LCM of 321 and 317

Related Least Common Multiples of 317

Related Least Common Multiples of 321

Frequently Asked Questions on LCM of 317 and 321

1. What is the LCM of 317 and 321?

Answer: LCM of 317 and 321 is 101757.

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 321?

Answer: Factors of 321 are 1, 3, 107, 321. There are 4 integers that are factors of 321. The greatest factor of 321 is 321.

4. How to Find the LCM of 317 and 321?

Answer:

Least Common Multiple of 317 and 321 = 101757

Step 1: Find the prime factorization of 317

317 = 317

Step 2: Find the prime factorization of 321

321 = 3 x 107

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

LCM = 101757 = 3 x 107 x 317

Step 4: Therefore, the least common multiple of 317 and 321 is 101757.