Least Common Multiple of 313 and 317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 313 and 317 the smallest integer that is 99221 that is divisible by both numbers.

Least Common Multiple (LCM) of 313 and 317 is 99221.

LCM(313,317) = 99221

LCM of 313 and 317

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

LCM of:
and

Least Common Multiple of 313 and 317

LCM of 313 and 317 is 99221

Least common multiple can be found by multiplying the highest exponent prime factors of 313 and 317. First we will calculate the prime factors of 313 and 317.

Prime Factorization of 313


313 313
1

Prime factors of 313 are 313. Prime factorization of 313 in exponential form is:

313 = 3131

Prime Factorization of 317


317 317
1

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

317 = 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 313 and 317.

LCM(313,317) = 3131×3171
LCM(313,317) = 99221

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1, 313

Factors of 317

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

1, 317

Least Common Multiple of 313 and 317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313 and 317, than apply into the LCM equation.

GCF(313,317) = 1
LCM(313,317) = ( 313 × 317) / 1
LCM(313,317) = 99221 / 1
LCM(313,317) = 99221

Properties of LCM 313 and 317

(i) The LCM of 317 and 313 is associative

LCM of 313 and 317 = LCM of 317 and 313

Related Least Common Multiples of 313

Related Least Common Multiples of 317

Frequently Asked Questions on LCM of 313 and 317

1. What is the LCM of 313 and 317?

Answer: LCM of 313 and 317 is 99221.

2. What are the Factors of 313?

Answer: Factors of 313 are 1, 313. There are 2 integers that are factors of 313. The greatest factor of 313 is 313.

3. 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.

4. How to Find the LCM of 313 and 317?

Answer:

Least Common Multiple of 313 and 317 = 99221

Step 1: Find the prime factorization of 313

313 = 313

Step 2: Find the prime factorization of 317

317 = 317

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

LCM = 99221 = 313 x 317

Step 4: Therefore, the least common multiple of 313 and 317 is 99221.