Least Common Multiple of 5323 and 5331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5323 and 5331 the smallest integer that is 28376913 that is divisible by both numbers.

Least Common Multiple (LCM) of 5323 and 5331 is 28376913.

LCM(5323,5331) = 28376913

LCM of 5323 and 5331

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

LCM of:
and

Least Common Multiple of 5323 and 5331

LCM of 5323 and 5331 is 28376913

Least common multiple can be found by multiplying the highest exponent prime factors of 5323 and 5331. First we will calculate the prime factors of 5323 and 5331.

Prime Factorization of 5323


5323 5323
1

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

5323 = 53231

Prime Factorization of 5331


3 5331
1777 1777
1

Prime factors of 5331 are 3,1777. Prime factorization of 5331 in exponential form is:

5331 = 31×17771

Now multiplying the highest exponent prime factors to calculate the LCM of 5323 and 5331.

LCM(5323,5331) = 31×17771×53231
LCM(5323,5331) = 28376913

Factors of 5323

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

1, 5323

Factors of 5331

List of positive integer factors of 5331 that divides 5331 without a remainder.

1, 3, 1777, 5331

Least Common Multiple of 5323 and 5331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5323 and 5331, than apply into the LCM equation.

GCF(5323,5331) = 1
LCM(5323,5331) = ( 5323 × 5331) / 1
LCM(5323,5331) = 28376913 / 1
LCM(5323,5331) = 28376913

Properties of LCM 5323 and 5331

(i) The LCM of 5331 and 5323 is associative

LCM of 5323 and 5331 = LCM of 5331 and 5323

Related Least Common Multiples of 5323

Related Least Common Multiples of 5331

Frequently Asked Questions on LCM of 5323 and 5331

1. What is the LCM of 5323 and 5331?

Answer: LCM of 5323 and 5331 is 28376913.

2. 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.

3. What are the Factors of 5331?

Answer: Factors of 5331 are 1, 3, 1777, 5331. There are 4 integers that are factors of 5331. The greatest factor of 5331 is 5331.

4. How to Find the LCM of 5323 and 5331?

Answer:

Least Common Multiple of 5323 and 5331 = 28376913

Step 1: Find the prime factorization of 5323

5323 = 5323

Step 2: Find the prime factorization of 5331

5331 = 3 x 1777

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

LCM = 28376913 = 3 x 1777 x 5323

Step 4: Therefore, the least common multiple of 5323 and 5331 is 28376913.