Least Common Multiple of 2321 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 2321 and 2328 the smallest integer that is 5403288 that is divisible by both numbers.

Least Common Multiple (LCM) of 2321 and 2328 is 5403288.

LCM(2321,2328) = 5403288

LCM of 2321 and 2328

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

LCM of:
and

Least Common Multiple of 2321 and 2328

LCM of 2321 and 2328 is 5403288

Least common multiple can be found by multiplying the highest exponent prime factors of 2321 and 2328. First we will calculate the prime factors of 2321 and 2328.

Prime Factorization of 2321


11 2321
211 211
1

Prime factors of 2321 are 11,211. Prime factorization of 2321 in exponential form is:

2321 = 111×2111

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 2321 and 2328.

LCM(2321,2328) = 23×31×111×971×2111
LCM(2321,2328) = 5403288

Factors of 2321

List of positive integer factors of 2321 that divides 2321 without a remainder.

1, 11, 211, 2321

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 2321 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 2321 and 2328, than apply into the LCM equation.

GCF(2321,2328) = 1
LCM(2321,2328) = ( 2321 × 2328) / 1
LCM(2321,2328) = 5403288 / 1
LCM(2321,2328) = 5403288

Properties of LCM 2321 and 2328

(i) The LCM of 2328 and 2321 is associative

LCM of 2321 and 2328 = LCM of 2328 and 2321

Related Least Common Multiples of 2321

Related Least Common Multiples of 2328

Frequently Asked Questions on LCM of 2321 and 2328

1. What is the LCM of 2321 and 2328?

Answer: LCM of 2321 and 2328 is 5403288.

2. What are the Factors of 2321?

Answer: Factors of 2321 are 1, 11, 211, 2321. There are 4 integers that are factors of 2321. The greatest factor of 2321 is 2321.

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 2321 and 2328?

Answer:

Least Common Multiple of 2321 and 2328 = 5403288

Step 1: Find the prime factorization of 2321

2321 = 11 x 211

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 = 5403288 = 2 x 2 x 2 x 3 x 11 x 97 x 211

Step 4: Therefore, the least common multiple of 2321 and 2328 is 5403288.