Least Common Multiple of 8311 and 8318

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 8318 the smallest integer that is 69130898 that is divisible by both numbers.

Least Common Multiple (LCM) of 8311 and 8318 is 69130898.

LCM(8311,8318) = 69130898

LCM of 8311 and 8318

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

LCM of:
and

Least Common Multiple of 8311 and 8318

LCM of 8311 and 8318 is 69130898

Least common multiple can be found by multiplying the highest exponent prime factors of 8311 and 8318. First we will calculate the prime factors of 8311 and 8318.

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 8318


2 8318
4159 4159
1

Prime factors of 8318 are 2,4159. Prime factorization of 8318 in exponential form is:

8318 = 21×41591

Now multiplying the highest exponent prime factors to calculate the LCM of 8311 and 8318.

LCM(8311,8318) = 21×41591×83111
LCM(8311,8318) = 69130898

Factors of 8311

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

1, 8311

Factors of 8318

List of positive integer factors of 8318 that divides 8318 without a remainder.

1, 2, 4159, 8318

Least Common Multiple of 8311 and 8318 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 8318, than apply into the LCM equation.

GCF(8311,8318) = 1
LCM(8311,8318) = ( 8311 × 8318) / 1
LCM(8311,8318) = 69130898 / 1
LCM(8311,8318) = 69130898

Properties of LCM 8311 and 8318

(i) The LCM of 8318 and 8311 is associative

LCM of 8311 and 8318 = LCM of 8318 and 8311

Related Least Common Multiples of 8311

Related Least Common Multiples of 8318

Frequently Asked Questions on LCM of 8311 and 8318

1. What is the LCM of 8311 and 8318?

Answer: LCM of 8311 and 8318 is 69130898.

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 8318?

Answer: Factors of 8318 are 1, 2, 4159, 8318. There are 4 integers that are factors of 8318. The greatest factor of 8318 is 8318.

4. How to Find the LCM of 8311 and 8318?

Answer:

Least Common Multiple of 8311 and 8318 = 69130898

Step 1: Find the prime factorization of 8311

8311 = 8311

Step 2: Find the prime factorization of 8318

8318 = 2 x 4159

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

LCM = 69130898 = 2 x 4159 x 8311

Step 4: Therefore, the least common multiple of 8311 and 8318 is 69130898.