Least Common Multiple of 2323 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 2323 and 2328 the smallest integer that is 5407944 that is divisible by both numbers.

Least Common Multiple (LCM) of 2323 and 2328 is 5407944.

LCM(2323,2328) = 5407944

LCM of 2323 and 2328

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

LCM of:
and

Least Common Multiple of 2323 and 2328

LCM of 2323 and 2328 is 5407944

Least common multiple can be found by multiplying the highest exponent prime factors of 2323 and 2328. First we will calculate the prime factors of 2323 and 2328.

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

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 2323 and 2328.

LCM(2323,2328) = 23×31×231×971×1011
LCM(2323,2328) = 5407944

Factors of 2323

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

1, 23, 101, 2323

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 2323 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 2323 and 2328, than apply into the LCM equation.

GCF(2323,2328) = 1
LCM(2323,2328) = ( 2323 × 2328) / 1
LCM(2323,2328) = 5407944 / 1
LCM(2323,2328) = 5407944

Properties of LCM 2323 and 2328

(i) The LCM of 2328 and 2323 is associative

LCM of 2323 and 2328 = LCM of 2328 and 2323

Related Least Common Multiples of 2323

Related Least Common Multiples of 2328

Frequently Asked Questions on LCM of 2323 and 2328

1. What is the LCM of 2323 and 2328?

Answer: LCM of 2323 and 2328 is 5407944.

2. 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.

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 2323 and 2328?

Answer:

Least Common Multiple of 2323 and 2328 = 5407944

Step 1: Find the prime factorization of 2323

2323 = 23 x 101

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 = 5407944 = 2 x 2 x 2 x 3 x 23 x 97 x 101

Step 4: Therefore, the least common multiple of 2323 and 2328 is 5407944.