Least Common Multiple of 311 and 316

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 316 the smallest integer that is 98276 that is divisible by both numbers.

Least Common Multiple (LCM) of 311 and 316 is 98276.

LCM(311,316) = 98276

LCM of 311 and 316

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

LCM of:
and

Least Common Multiple of 311 and 316

LCM of 311 and 316 is 98276

Least common multiple can be found by multiplying the highest exponent prime factors of 311 and 316. First we will calculate the prime factors of 311 and 316.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 311 and 316.

LCM(311,316) = 22×791×3111
LCM(311,316) = 98276

Factors of 311

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

1, 311

Factors of 316

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

1, 2, 4, 79, 158, 316

Least Common Multiple of 311 and 316 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 316, than apply into the LCM equation.

GCF(311,316) = 1
LCM(311,316) = ( 311 × 316) / 1
LCM(311,316) = 98276 / 1
LCM(311,316) = 98276

Properties of LCM 311 and 316

(i) The LCM of 316 and 311 is associative

LCM of 311 and 316 = LCM of 316 and 311

Related Least Common Multiples of 311

Related Least Common Multiples of 316

Frequently Asked Questions on LCM of 311 and 316

1. What is the LCM of 311 and 316?

Answer: LCM of 311 and 316 is 98276.

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 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.

4. How to Find the LCM of 311 and 316?

Answer:

Least Common Multiple of 311 and 316 = 98276

Step 1: Find the prime factorization of 311

311 = 311

Step 2: Find the prime factorization of 316

316 = 2 x 2 x 79

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

LCM = 98276 = 2 x 2 x 79 x 311

Step 4: Therefore, the least common multiple of 311 and 316 is 98276.