Least Common Multiple of 5323 and 5330

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 5330 the smallest integer that is 28371590 that is divisible by both numbers.

Least Common Multiple (LCM) of 5323 and 5330 is 28371590.

LCM(5323,5330) = 28371590

LCM of 5323 and 5330

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

LCM of:
and

Least Common Multiple of 5323 and 5330

LCM of 5323 and 5330 is 28371590

Least common multiple can be found by multiplying the highest exponent prime factors of 5323 and 5330. First we will calculate the prime factors of 5323 and 5330.

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 5330


2 5330
5 2665
13 533
41 41
1

Prime factors of 5330 are 2, 5, 13,41. Prime factorization of 5330 in exponential form is:

5330 = 21×51×131×411

Now multiplying the highest exponent prime factors to calculate the LCM of 5323 and 5330.

LCM(5323,5330) = 21×51×131×411×53231
LCM(5323,5330) = 28371590

Factors of 5323

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

1, 5323

Factors of 5330

List of positive integer factors of 5330 that divides 5330 without a remainder.

1, 2, 5, 10, 13, 26, 41, 65, 82, 130, 205, 410, 533, 1066, 2665, 5330

Least Common Multiple of 5323 and 5330 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 5330, than apply into the LCM equation.

GCF(5323,5330) = 1
LCM(5323,5330) = ( 5323 × 5330) / 1
LCM(5323,5330) = 28371590 / 1
LCM(5323,5330) = 28371590

Properties of LCM 5323 and 5330

(i) The LCM of 5330 and 5323 is associative

LCM of 5323 and 5330 = LCM of 5330 and 5323

Related Least Common Multiples of 5323

Related Least Common Multiples of 5330

Frequently Asked Questions on LCM of 5323 and 5330

1. What is the LCM of 5323 and 5330?

Answer: LCM of 5323 and 5330 is 28371590.

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 5330?

Answer: Factors of 5330 are 1, 2, 5, 10, 13, 26, 41, 65, 82, 130, 205, 410, 533, 1066, 2665, 5330. There are 16 integers that are factors of 5330. The greatest factor of 5330 is 5330.

4. How to Find the LCM of 5323 and 5330?

Answer:

Least Common Multiple of 5323 and 5330 = 28371590

Step 1: Find the prime factorization of 5323

5323 = 5323

Step 2: Find the prime factorization of 5330

5330 = 2 x 5 x 13 x 41

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

LCM = 28371590 = 2 x 5 x 13 x 41 x 5323

Step 4: Therefore, the least common multiple of 5323 and 5330 is 28371590.