Least Common Multiple of 311 and 318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 311 and 318 the smallest integer that is 98898 that is divisible by both numbers.

Least Common Multiple (LCM) of 311 and 318 is 98898.

LCM(311,318) = 98898

LCM of 311 and 318

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

LCM of:
and

Least Common Multiple of 311 and 318

LCM of 311 and 318 is 98898

Least common multiple can be found by multiplying the highest exponent prime factors of 311 and 318. First we will calculate the prime factors of 311 and 318.

Prime Factorization of 311


311 311
1

Prime factors of 311 are 311. Prime factorization of 311 in exponential form is:

311 = 3111

Prime Factorization of 318


2 318
3 159
53 53
1

Prime factors of 318 are 2, 3,53. Prime factorization of 318 in exponential form is:

318 = 21×31×531

Now multiplying the highest exponent prime factors to calculate the LCM of 311 and 318.

LCM(311,318) = 21×31×531×3111
LCM(311,318) = 98898

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1, 311

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Least Common Multiple of 311 and 318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311 and 318, than apply into the LCM equation.

GCF(311,318) = 1
LCM(311,318) = ( 311 × 318) / 1
LCM(311,318) = 98898 / 1
LCM(311,318) = 98898

Properties of LCM 311 and 318

(i) The LCM of 318 and 311 is associative

LCM of 311 and 318 = LCM of 318 and 311

Related Least Common Multiples of 311

Related Least Common Multiples of 318

Frequently Asked Questions on LCM of 311 and 318

1. What is the LCM of 311 and 318?

Answer: LCM of 311 and 318 is 98898.

2. What are the Factors of 311?

Answer: Factors of 311 are 1, 311. There are 2 integers that are factors of 311. The greatest factor of 311 is 311.

3. What are the Factors of 318?

Answer: Factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318. There are 8 integers that are factors of 318. The greatest factor of 318 is 318.

4. How to Find the LCM of 311 and 318?

Answer:

Least Common Multiple of 311 and 318 = 98898

Step 1: Find the prime factorization of 311

311 = 311

Step 2: Find the prime factorization of 318

318 = 2 x 3 x 53

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

LCM = 98898 = 2 x 3 x 53 x 311

Step 4: Therefore, the least common multiple of 311 and 318 is 98898.