Least Common Multiple of 311 and 319

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 319 the smallest integer that is 99209 that is divisible by both numbers.

Least Common Multiple (LCM) of 311 and 319 is 99209.

LCM(311,319) = 99209

LCM of 311 and 319

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

LCM of:
and

Least Common Multiple of 311 and 319

LCM of 311 and 319 is 99209

Least common multiple can be found by multiplying the highest exponent prime factors of 311 and 319. First we will calculate the prime factors of 311 and 319.

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 319


11 319
29 29
1

Prime factors of 319 are 11,29. Prime factorization of 319 in exponential form is:

319 = 111×291

Now multiplying the highest exponent prime factors to calculate the LCM of 311 and 319.

LCM(311,319) = 111×291×3111
LCM(311,319) = 99209

Factors of 311

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

1, 311

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Least Common Multiple of 311 and 319 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 319, than apply into the LCM equation.

GCF(311,319) = 1
LCM(311,319) = ( 311 × 319) / 1
LCM(311,319) = 99209 / 1
LCM(311,319) = 99209

Properties of LCM 311 and 319

(i) The LCM of 319 and 311 is associative

LCM of 311 and 319 = LCM of 319 and 311

Related Least Common Multiples of 311

Related Least Common Multiples of 319

Frequently Asked Questions on LCM of 311 and 319

1. What is the LCM of 311 and 319?

Answer: LCM of 311 and 319 is 99209.

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 319?

Answer: Factors of 319 are 1, 11, 29, 319. There are 4 integers that are factors of 319. The greatest factor of 319 is 319.

4. How to Find the LCM of 311 and 319?

Answer:

Least Common Multiple of 311 and 319 = 99209

Step 1: Find the prime factorization of 311

311 = 311

Step 2: Find the prime factorization of 319

319 = 11 x 29

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

LCM = 99209 = 11 x 29 x 311

Step 4: Therefore, the least common multiple of 311 and 319 is 99209.