Least Common Multiple of 314 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 314 and 318 the smallest integer that is 49926 that is divisible by both numbers.

Least Common Multiple (LCM) of 314 and 318 is 49926.

LCM(314,318) = 49926

LCM of 314 and 318

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

LCM of:
and

Least Common Multiple of 314 and 318

LCM of 314 and 318 is 49926

Least common multiple can be found by multiplying the highest exponent prime factors of 314 and 318. First we will calculate the prime factors of 314 and 318.

Prime Factorization of 314


2 314
157 157
1

Prime factors of 314 are 2,157. Prime factorization of 314 in exponential form is:

314 = 21×1571

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 314 and 318.

LCM(314,318) = 21×31×531×1571
LCM(314,318) = 49926

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1, 2, 157, 314

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 314 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 314 and 318, than apply into the LCM equation.

GCF(314,318) = 2
LCM(314,318) = ( 314 × 318) / 2
LCM(314,318) = 99852 / 2
LCM(314,318) = 49926

Properties of LCM 314 and 318

(i) The LCM of 318 and 314 is associative

LCM of 314 and 318 = LCM of 318 and 314

Related Least Common Multiples of 314

Related Least Common Multiples of 318

Frequently Asked Questions on LCM of 314 and 318

1. What is the LCM of 314 and 318?

Answer: LCM of 314 and 318 is 49926.

2. What are the Factors of 314?

Answer: Factors of 314 are 1, 2, 157, 314. There are 4 integers that are factors of 314. The greatest factor of 314 is 314.

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 314 and 318?

Answer:

Least Common Multiple of 314 and 318 = 49926

Step 1: Find the prime factorization of 314

314 = 2 x 157

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 = 49926 = 2 x 3 x 53 x 157

Step 4: Therefore, the least common multiple of 314 and 318 is 49926.