Least Common Multiple of 2320 and 2323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2320 and 2323 the smallest integer that is 5389360 that is divisible by both numbers.

Least Common Multiple (LCM) of 2320 and 2323 is 5389360.

LCM(2320,2323) = 5389360

LCM of 2320 and 2323

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

LCM of:
and

Least Common Multiple of 2320 and 2323

LCM of 2320 and 2323 is 5389360

Least common multiple can be found by multiplying the highest exponent prime factors of 2320 and 2323. First we will calculate the prime factors of 2320 and 2323.

Prime Factorization of 2320


2 2320
2 1160
2 580
2 290
5 145
29 29
1

Prime factors of 2320 are 2, 5,29. Prime factorization of 2320 in exponential form is:

2320 = 24×51×291

Prime Factorization of 2323


23 2323
101 101
1

Prime factors of 2323 are 23,101. Prime factorization of 2323 in exponential form is:

2323 = 231×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 2320 and 2323.

LCM(2320,2323) = 24×51×231×291×1011
LCM(2320,2323) = 5389360

Factors of 2320

List of positive integer factors of 2320 that divides 2320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320

Factors of 2323

List of positive integer factors of 2323 that divides 2323 without a remainder.

1, 23, 101, 2323

Least Common Multiple of 2320 and 2323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2320 and 2323, than apply into the LCM equation.

GCF(2320,2323) = 1
LCM(2320,2323) = ( 2320 × 2323) / 1
LCM(2320,2323) = 5389360 / 1
LCM(2320,2323) = 5389360

Properties of LCM 2320 and 2323

(i) The LCM of 2323 and 2320 is associative

LCM of 2320 and 2323 = LCM of 2323 and 2320

Related Least Common Multiples of 2320

Related Least Common Multiples of 2323

Frequently Asked Questions on LCM of 2320 and 2323

1. What is the LCM of 2320 and 2323?

Answer: LCM of 2320 and 2323 is 5389360.

2. What are the Factors of 2320?

Answer: Factors of 2320 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320. There are 20 integers that are factors of 2320. The greatest factor of 2320 is 2320.

3. What are the Factors of 2323?

Answer: Factors of 2323 are 1, 23, 101, 2323. There are 4 integers that are factors of 2323. The greatest factor of 2323 is 2323.

4. How to Find the LCM of 2320 and 2323?

Answer:

Least Common Multiple of 2320 and 2323 = 5389360

Step 1: Find the prime factorization of 2320

2320 = 2 x 2 x 2 x 2 x 5 x 29

Step 2: Find the prime factorization of 2323

2323 = 23 x 101

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

LCM = 5389360 = 2 x 2 x 2 x 2 x 5 x 23 x 29 x 101

Step 4: Therefore, the least common multiple of 2320 and 2323 is 5389360.