Least Common Multiple of 2327 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 2327 and 2328 the smallest integer that is 5417256 that is divisible by both numbers.

Least Common Multiple (LCM) of 2327 and 2328 is 5417256.

LCM(2327,2328) = 5417256

LCM of 2327 and 2328

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

LCM of:
and

Least Common Multiple of 2327 and 2328

LCM of 2327 and 2328 is 5417256

Least common multiple can be found by multiplying the highest exponent prime factors of 2327 and 2328. First we will calculate the prime factors of 2327 and 2328.

Prime Factorization of 2327


13 2327
179 179
1

Prime factors of 2327 are 13,179. Prime factorization of 2327 in exponential form is:

2327 = 131×1791

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 2327 and 2328.

LCM(2327,2328) = 23×31×131×971×1791
LCM(2327,2328) = 5417256

Factors of 2327

List of positive integer factors of 2327 that divides 2327 without a remainder.

1, 13, 179, 2327

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 2327 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 2327 and 2328, than apply into the LCM equation.

GCF(2327,2328) = 1
LCM(2327,2328) = ( 2327 × 2328) / 1
LCM(2327,2328) = 5417256 / 1
LCM(2327,2328) = 5417256

Properties of LCM 2327 and 2328

(i) The LCM of 2328 and 2327 is associative

LCM of 2327 and 2328 = LCM of 2328 and 2327

Related Least Common Multiples of 2327

Related Least Common Multiples of 2328

Frequently Asked Questions on LCM of 2327 and 2328

1. What is the LCM of 2327 and 2328?

Answer: LCM of 2327 and 2328 is 5417256.

2. What are the Factors of 2327?

Answer: Factors of 2327 are 1, 13, 179, 2327. There are 4 integers that are factors of 2327. The greatest factor of 2327 is 2327.

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 2327 and 2328?

Answer:

Least Common Multiple of 2327 and 2328 = 5417256

Step 1: Find the prime factorization of 2327

2327 = 13 x 179

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 = 5417256 = 2 x 2 x 2 x 3 x 13 x 97 x 179

Step 4: Therefore, the least common multiple of 2327 and 2328 is 5417256.