Least Common Multiple of 311 and 314

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 314 the smallest integer that is 97654 that is divisible by both numbers.

Least Common Multiple (LCM) of 311 and 314 is 97654.

LCM(311,314) = 97654

LCM of 311 and 314

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

LCM of:
and

Least Common Multiple of 311 and 314

LCM of 311 and 314 is 97654

Least common multiple can be found by multiplying the highest exponent prime factors of 311 and 314. First we will calculate the prime factors of 311 and 314.

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 314


2 314
157 157
1

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

314 = 21×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 311 and 314.

LCM(311,314) = 21×1571×3111
LCM(311,314) = 97654

Factors of 311

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

1, 311

Factors of 314

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

1, 2, 157, 314

Least Common Multiple of 311 and 314 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 314, than apply into the LCM equation.

GCF(311,314) = 1
LCM(311,314) = ( 311 × 314) / 1
LCM(311,314) = 97654 / 1
LCM(311,314) = 97654

Properties of LCM 311 and 314

(i) The LCM of 314 and 311 is associative

LCM of 311 and 314 = LCM of 314 and 311

Related Least Common Multiples of 311

Related Least Common Multiples of 314

Frequently Asked Questions on LCM of 311 and 314

1. What is the LCM of 311 and 314?

Answer: LCM of 311 and 314 is 97654.

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 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.

4. How to Find the LCM of 311 and 314?

Answer:

Least Common Multiple of 311 and 314 = 97654

Step 1: Find the prime factorization of 311

311 = 311

Step 2: Find the prime factorization of 314

314 = 2 x 157

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

LCM = 97654 = 2 x 157 x 311

Step 4: Therefore, the least common multiple of 311 and 314 is 97654.