Least Common Multiple of 316 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 316 and 317 the smallest integer that is 100172 that is divisible by both numbers.

Least Common Multiple (LCM) of 316 and 317 is 100172.

LCM(316,317) = 100172

LCM of 316 and 317

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

LCM of:
and

Least Common Multiple of 316 and 317

LCM of 316 and 317 is 100172

Least common multiple can be found by multiplying the highest exponent prime factors of 316 and 317. First we will calculate the prime factors of 316 and 317.

Prime Factorization of 316


2 316
2 158
79 79
1

Prime factors of 316 are 2,79. Prime factorization of 316 in exponential form is:

316 = 22×791

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 316 and 317.

LCM(316,317) = 22×791×3171
LCM(316,317) = 100172

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Factors of 317

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

1, 317

Least Common Multiple of 316 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 316 and 317, than apply into the LCM equation.

GCF(316,317) = 1
LCM(316,317) = ( 316 × 317) / 1
LCM(316,317) = 100172 / 1
LCM(316,317) = 100172

Properties of LCM 316 and 317

(i) The LCM of 317 and 316 is associative

LCM of 316 and 317 = LCM of 317 and 316

Related Least Common Multiples of 316

Related Least Common Multiples of 317

Frequently Asked Questions on LCM of 316 and 317

1. What is the LCM of 316 and 317?

Answer: LCM of 316 and 317 is 100172.

2. What are the Factors of 316?

Answer: Factors of 316 are 1, 2, 4, 79, 158, 316. There are 6 integers that are factors of 316. The greatest factor of 316 is 316.

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 316 and 317?

Answer:

Least Common Multiple of 316 and 317 = 100172

Step 1: Find the prime factorization of 316

316 = 2 x 2 x 79

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 = 100172 = 2 x 2 x 79 x 317

Step 4: Therefore, the least common multiple of 316 and 317 is 100172.