Least Common Multiple of 5318 and 5323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5318 and 5323 the smallest integer that is 28307714 that is divisible by both numbers.

Least Common Multiple (LCM) of 5318 and 5323 is 28307714.

LCM(5318,5323) = 28307714

LCM of 5318 and 5323

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

LCM of:
and

Least Common Multiple of 5318 and 5323

LCM of 5318 and 5323 is 28307714

Least common multiple can be found by multiplying the highest exponent prime factors of 5318 and 5323. First we will calculate the prime factors of 5318 and 5323.

Prime Factorization of 5318


2 5318
2659 2659
1

Prime factors of 5318 are 2,2659. Prime factorization of 5318 in exponential form is:

5318 = 21×26591

Prime Factorization of 5323


5323 5323
1

Prime factors of 5323 are 5323. Prime factorization of 5323 in exponential form is:

5323 = 53231

Now multiplying the highest exponent prime factors to calculate the LCM of 5318 and 5323.

LCM(5318,5323) = 21×26591×53231
LCM(5318,5323) = 28307714

Factors of 5318

List of positive integer factors of 5318 that divides 5318 without a remainder.

1, 2, 2659, 5318

Factors of 5323

List of positive integer factors of 5323 that divides 5323 without a remainder.

1, 5323

Least Common Multiple of 5318 and 5323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5318 and 5323, than apply into the LCM equation.

GCF(5318,5323) = 1
LCM(5318,5323) = ( 5318 × 5323) / 1
LCM(5318,5323) = 28307714 / 1
LCM(5318,5323) = 28307714

Properties of LCM 5318 and 5323

(i) The LCM of 5323 and 5318 is associative

LCM of 5318 and 5323 = LCM of 5323 and 5318

Related Least Common Multiples of 5318

Related Least Common Multiples of 5323

Frequently Asked Questions on LCM of 5318 and 5323

1. What is the LCM of 5318 and 5323?

Answer: LCM of 5318 and 5323 is 28307714.

2. What are the Factors of 5318?

Answer: Factors of 5318 are 1, 2, 2659, 5318. There are 4 integers that are factors of 5318. The greatest factor of 5318 is 5318.

3. What are the Factors of 5323?

Answer: Factors of 5323 are 1, 5323. There are 2 integers that are factors of 5323. The greatest factor of 5323 is 5323.

4. How to Find the LCM of 5318 and 5323?

Answer:

Least Common Multiple of 5318 and 5323 = 28307714

Step 1: Find the prime factorization of 5318

5318 = 2 x 2659

Step 2: Find the prime factorization of 5323

5323 = 5323

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

LCM = 28307714 = 2 x 2659 x 5323

Step 4: Therefore, the least common multiple of 5318 and 5323 is 28307714.