Least Common Multiple of 2320 and 2328

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 2328 the smallest integer that is 675120 that is divisible by both numbers.

Least Common Multiple (LCM) of 2320 and 2328 is 675120.

LCM(2320,2328) = 675120

LCM of 2320 and 2328

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

LCM of:
and

Least Common Multiple of 2320 and 2328

LCM of 2320 and 2328 is 675120

Least common multiple can be found by multiplying the highest exponent prime factors of 2320 and 2328. First we will calculate the prime factors of 2320 and 2328.

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 2328


2 2328
2 1164
2 582
3 291
97 97
1

Prime factors of 2328 are 2, 3,97. Prime factorization of 2328 in exponential form is:

2328 = 23×31×971

Now multiplying the highest exponent prime factors to calculate the LCM of 2320 and 2328.

LCM(2320,2328) = 24×31×51×291×971
LCM(2320,2328) = 675120

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 2328

List of positive integer factors of 2328 that divides 2328 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 97, 194, 291, 388, 582, 776, 1164, 2328

Least Common Multiple of 2320 and 2328 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 2328, than apply into the LCM equation.

GCF(2320,2328) = 8
LCM(2320,2328) = ( 2320 × 2328) / 8
LCM(2320,2328) = 5400960 / 8
LCM(2320,2328) = 675120

Properties of LCM 2320 and 2328

(i) The LCM of 2328 and 2320 is associative

LCM of 2320 and 2328 = LCM of 2328 and 2320

Related Least Common Multiples of 2320

Related Least Common Multiples of 2328

Frequently Asked Questions on LCM of 2320 and 2328

1. What is the LCM of 2320 and 2328?

Answer: LCM of 2320 and 2328 is 675120.

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 2328?

Answer: Factors of 2328 are 1, 2, 3, 4, 6, 8, 12, 24, 97, 194, 291, 388, 582, 776, 1164, 2328. There are 16 integers that are factors of 2328. The greatest factor of 2328 is 2328.

4. How to Find the LCM of 2320 and 2328?

Answer:

Least Common Multiple of 2320 and 2328 = 675120

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 2328

2328 = 2 x 2 x 2 x 3 x 97

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

LCM = 675120 = 2 x 2 x 2 x 2 x 3 x 5 x 29 x 97

Step 4: Therefore, the least common multiple of 2320 and 2328 is 675120.