Least Common Multiple of 2328 and 2329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2328 and 2329 the smallest integer that is 5421912 that is divisible by both numbers.

Least Common Multiple (LCM) of 2328 and 2329 is 5421912.

LCM(2328,2329) = 5421912

LCM of 2328 and 2329

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

LCM of:
and

Least Common Multiple of 2328 and 2329

LCM of 2328 and 2329 is 5421912

Least common multiple can be found by multiplying the highest exponent prime factors of 2328 and 2329. First we will calculate the prime factors of 2328 and 2329.

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

Prime Factorization of 2329


17 2329
137 137
1

Prime factors of 2329 are 17,137. Prime factorization of 2329 in exponential form is:

2329 = 171×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 2328 and 2329.

LCM(2328,2329) = 23×31×171×971×1371
LCM(2328,2329) = 5421912

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

Factors of 2329

List of positive integer factors of 2329 that divides 2329 without a remainder.

1, 17, 137, 2329

Least Common Multiple of 2328 and 2329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2328 and 2329, than apply into the LCM equation.

GCF(2328,2329) = 1
LCM(2328,2329) = ( 2328 × 2329) / 1
LCM(2328,2329) = 5421912 / 1
LCM(2328,2329) = 5421912

Properties of LCM 2328 and 2329

(i) The LCM of 2329 and 2328 is associative

LCM of 2328 and 2329 = LCM of 2329 and 2328

Related Least Common Multiples of 2328

Related Least Common Multiples of 2329

Frequently Asked Questions on LCM of 2328 and 2329

1. What is the LCM of 2328 and 2329?

Answer: LCM of 2328 and 2329 is 5421912.

2. 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.

3. What are the Factors of 2329?

Answer: Factors of 2329 are 1, 17, 137, 2329. There are 4 integers that are factors of 2329. The greatest factor of 2329 is 2329.

4. How to Find the LCM of 2328 and 2329?

Answer:

Least Common Multiple of 2328 and 2329 = 5421912

Step 1: Find the prime factorization of 2328

2328 = 2 x 2 x 2 x 3 x 97

Step 2: Find the prime factorization of 2329

2329 = 17 x 137

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

LCM = 5421912 = 2 x 2 x 2 x 3 x 17 x 97 x 137

Step 4: Therefore, the least common multiple of 2328 and 2329 is 5421912.