Least Common Multiple of 5317 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 5317 and 5323 the smallest integer that is 28302391 that is divisible by both numbers.

Least Common Multiple (LCM) of 5317 and 5323 is 28302391.

LCM(5317,5323) = 28302391

LCM of 5317 and 5323

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

LCM of:
and

Least Common Multiple of 5317 and 5323

LCM of 5317 and 5323 is 28302391

Least common multiple can be found by multiplying the highest exponent prime factors of 5317 and 5323. First we will calculate the prime factors of 5317 and 5323.

Prime Factorization of 5317


13 5317
409 409
1

Prime factors of 5317 are 13,409. Prime factorization of 5317 in exponential form is:

5317 = 131×4091

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 5317 and 5323.

LCM(5317,5323) = 131×4091×53231
LCM(5317,5323) = 28302391

Factors of 5317

List of positive integer factors of 5317 that divides 5317 without a remainder.

1, 13, 409, 5317

Factors of 5323

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

1, 5323

Least Common Multiple of 5317 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 5317 and 5323, than apply into the LCM equation.

GCF(5317,5323) = 1
LCM(5317,5323) = ( 5317 × 5323) / 1
LCM(5317,5323) = 28302391 / 1
LCM(5317,5323) = 28302391

Properties of LCM 5317 and 5323

(i) The LCM of 5323 and 5317 is associative

LCM of 5317 and 5323 = LCM of 5323 and 5317

Related Least Common Multiples of 5317

Related Least Common Multiples of 5323

Frequently Asked Questions on LCM of 5317 and 5323

1. What is the LCM of 5317 and 5323?

Answer: LCM of 5317 and 5323 is 28302391.

2. What are the Factors of 5317?

Answer: Factors of 5317 are 1, 13, 409, 5317. There are 4 integers that are factors of 5317. The greatest factor of 5317 is 5317.

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 5317 and 5323?

Answer:

Least Common Multiple of 5317 and 5323 = 28302391

Step 1: Find the prime factorization of 5317

5317 = 13 x 409

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 = 28302391 = 13 x 409 x 5323

Step 4: Therefore, the least common multiple of 5317 and 5323 is 28302391.