Least Common Multiple of 5323 and 5327

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 5327 the smallest integer that is 28355621 that is divisible by both numbers.

Least Common Multiple (LCM) of 5323 and 5327 is 28355621.

LCM(5323,5327) = 28355621

LCM of 5323 and 5327

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

LCM of:
and

Least Common Multiple of 5323 and 5327

LCM of 5323 and 5327 is 28355621

Least common multiple can be found by multiplying the highest exponent prime factors of 5323 and 5327. First we will calculate the prime factors of 5323 and 5327.

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 5327


7 5327
761 761
1

Prime factors of 5327 are 7,761. Prime factorization of 5327 in exponential form is:

5327 = 71×7611

Now multiplying the highest exponent prime factors to calculate the LCM of 5323 and 5327.

LCM(5323,5327) = 71×7611×53231
LCM(5323,5327) = 28355621

Factors of 5323

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

1, 5323

Factors of 5327

List of positive integer factors of 5327 that divides 5327 without a remainder.

1, 7, 761, 5327

Least Common Multiple of 5323 and 5327 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 5327, than apply into the LCM equation.

GCF(5323,5327) = 1
LCM(5323,5327) = ( 5323 × 5327) / 1
LCM(5323,5327) = 28355621 / 1
LCM(5323,5327) = 28355621

Properties of LCM 5323 and 5327

(i) The LCM of 5327 and 5323 is associative

LCM of 5323 and 5327 = LCM of 5327 and 5323

Related Least Common Multiples of 5323

Related Least Common Multiples of 5327

Frequently Asked Questions on LCM of 5323 and 5327

1. What is the LCM of 5323 and 5327?

Answer: LCM of 5323 and 5327 is 28355621.

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 5327?

Answer: Factors of 5327 are 1, 7, 761, 5327. There are 4 integers that are factors of 5327. The greatest factor of 5327 is 5327.

4. How to Find the LCM of 5323 and 5327?

Answer:

Least Common Multiple of 5323 and 5327 = 28355621

Step 1: Find the prime factorization of 5323

5323 = 5323

Step 2: Find the prime factorization of 5327

5327 = 7 x 761

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

LCM = 28355621 = 7 x 761 x 5323

Step 4: Therefore, the least common multiple of 5323 and 5327 is 28355621.