Least Common Multiple of 2328 and 2334

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 2334 the smallest integer that is 905592 that is divisible by both numbers.

Least Common Multiple (LCM) of 2328 and 2334 is 905592.

LCM(2328,2334) = 905592

LCM of 2328 and 2334

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

LCM of:
and

Least Common Multiple of 2328 and 2334

LCM of 2328 and 2334 is 905592

Least common multiple can be found by multiplying the highest exponent prime factors of 2328 and 2334. First we will calculate the prime factors of 2328 and 2334.

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 2334


2 2334
3 1167
389 389
1

Prime factors of 2334 are 2, 3,389. Prime factorization of 2334 in exponential form is:

2334 = 21×31×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 2328 and 2334.

LCM(2328,2334) = 23×31×971×3891
LCM(2328,2334) = 905592

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 2334

List of positive integer factors of 2334 that divides 2334 without a remainder.

1, 2, 3, 6, 389, 778, 1167, 2334

Least Common Multiple of 2328 and 2334 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 2334, than apply into the LCM equation.

GCF(2328,2334) = 6
LCM(2328,2334) = ( 2328 × 2334) / 6
LCM(2328,2334) = 5433552 / 6
LCM(2328,2334) = 905592

Properties of LCM 2328 and 2334

(i) The LCM of 2334 and 2328 is associative

LCM of 2328 and 2334 = LCM of 2334 and 2328

Related Least Common Multiples of 2328

Related Least Common Multiples of 2334

Frequently Asked Questions on LCM of 2328 and 2334

1. What is the LCM of 2328 and 2334?

Answer: LCM of 2328 and 2334 is 905592.

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 2334?

Answer: Factors of 2334 are 1, 2, 3, 6, 389, 778, 1167, 2334. There are 8 integers that are factors of 2334. The greatest factor of 2334 is 2334.

4. How to Find the LCM of 2328 and 2334?

Answer:

Least Common Multiple of 2328 and 2334 = 905592

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 2334

2334 = 2 x 3 x 389

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

LCM = 905592 = 2 x 2 x 2 x 3 x 97 x 389

Step 4: Therefore, the least common multiple of 2328 and 2334 is 905592.