Least Common Multiple of 8311 and 8319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8311 and 8319 the smallest integer that is 69139209 that is divisible by both numbers.

Least Common Multiple (LCM) of 8311 and 8319 is 69139209.

LCM(8311,8319) = 69139209

LCM of 8311 and 8319

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

LCM of:
and

Least Common Multiple of 8311 and 8319

LCM of 8311 and 8319 is 69139209

Least common multiple can be found by multiplying the highest exponent prime factors of 8311 and 8319. First we will calculate the prime factors of 8311 and 8319.

Prime Factorization of 8311


8311 8311
1

Prime factors of 8311 are 8311. Prime factorization of 8311 in exponential form is:

8311 = 83111

Prime Factorization of 8319


3 8319
47 2773
59 59
1

Prime factors of 8319 are 3, 47,59. Prime factorization of 8319 in exponential form is:

8319 = 31×471×591

Now multiplying the highest exponent prime factors to calculate the LCM of 8311 and 8319.

LCM(8311,8319) = 31×471×591×83111
LCM(8311,8319) = 69139209

Factors of 8311

List of positive integer factors of 8311 that divides 8311 without a remainder.

1, 8311

Factors of 8319

List of positive integer factors of 8319 that divides 8319 without a remainder.

1, 3, 47, 59, 141, 177, 2773, 8319

Least Common Multiple of 8311 and 8319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8311 and 8319, than apply into the LCM equation.

GCF(8311,8319) = 1
LCM(8311,8319) = ( 8311 × 8319) / 1
LCM(8311,8319) = 69139209 / 1
LCM(8311,8319) = 69139209

Properties of LCM 8311 and 8319

(i) The LCM of 8319 and 8311 is associative

LCM of 8311 and 8319 = LCM of 8319 and 8311

Related Least Common Multiples of 8311

Related Least Common Multiples of 8319

Frequently Asked Questions on LCM of 8311 and 8319

1. What is the LCM of 8311 and 8319?

Answer: LCM of 8311 and 8319 is 69139209.

2. What are the Factors of 8311?

Answer: Factors of 8311 are 1, 8311. There are 2 integers that are factors of 8311. The greatest factor of 8311 is 8311.

3. What are the Factors of 8319?

Answer: Factors of 8319 are 1, 3, 47, 59, 141, 177, 2773, 8319. There are 8 integers that are factors of 8319. The greatest factor of 8319 is 8319.

4. How to Find the LCM of 8311 and 8319?

Answer:

Least Common Multiple of 8311 and 8319 = 69139209

Step 1: Find the prime factorization of 8311

8311 = 8311

Step 2: Find the prime factorization of 8319

8319 = 3 x 47 x 59

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

LCM = 69139209 = 3 x 47 x 59 x 8311

Step 4: Therefore, the least common multiple of 8311 and 8319 is 69139209.