Least Common Multiple of 313 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 313 and 318 the smallest integer that is 99534 that is divisible by both numbers.

Least Common Multiple (LCM) of 313 and 318 is 99534.

LCM(313,318) = 99534

LCM of 313 and 318

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

LCM of:
and

Least Common Multiple of 313 and 318

LCM of 313 and 318 is 99534

Least common multiple can be found by multiplying the highest exponent prime factors of 313 and 318. First we will calculate the prime factors of 313 and 318.

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 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 313 and 318.

LCM(313,318) = 21×31×531×3131
LCM(313,318) = 99534

Factors of 313

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

1, 313

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 313 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 313 and 318, than apply into the LCM equation.

GCF(313,318) = 1
LCM(313,318) = ( 313 × 318) / 1
LCM(313,318) = 99534 / 1
LCM(313,318) = 99534

Properties of LCM 313 and 318

(i) The LCM of 318 and 313 is associative

LCM of 313 and 318 = LCM of 318 and 313

Related Least Common Multiples of 313

Related Least Common Multiples of 318

Frequently Asked Questions on LCM of 313 and 318

1. What is the LCM of 313 and 318?

Answer: LCM of 313 and 318 is 99534.

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 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 313 and 318?

Answer:

Least Common Multiple of 313 and 318 = 99534

Step 1: Find the prime factorization of 313

313 = 313

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 = 99534 = 2 x 3 x 53 x 313

Step 4: Therefore, the least common multiple of 313 and 318 is 99534.