Least Common Multiple of 2322 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 2322 and 2328 the smallest integer that is 900936 that is divisible by both numbers.

Least Common Multiple (LCM) of 2322 and 2328 is 900936.

LCM(2322,2328) = 900936

LCM of 2322 and 2328

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

LCM of:
and

Least Common Multiple of 2322 and 2328

LCM of 2322 and 2328 is 900936

Least common multiple can be found by multiplying the highest exponent prime factors of 2322 and 2328. First we will calculate the prime factors of 2322 and 2328.

Prime Factorization of 2322


2 2322
3 1161
3 387
3 129
43 43
1

Prime factors of 2322 are 2, 3,43. Prime factorization of 2322 in exponential form is:

2322 = 21×33×431

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 2322 and 2328.

LCM(2322,2328) = 23×33×431×971
LCM(2322,2328) = 900936

Factors of 2322

List of positive integer factors of 2322 that divides 2322 without a remainder.

1, 2, 3, 6, 9, 18, 27, 43, 54, 86, 129, 258, 387, 774, 1161, 2322

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 2322 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 2322 and 2328, than apply into the LCM equation.

GCF(2322,2328) = 6
LCM(2322,2328) = ( 2322 × 2328) / 6
LCM(2322,2328) = 5405616 / 6
LCM(2322,2328) = 900936

Properties of LCM 2322 and 2328

(i) The LCM of 2328 and 2322 is associative

LCM of 2322 and 2328 = LCM of 2328 and 2322

Related Least Common Multiples of 2322

Related Least Common Multiples of 2328

Frequently Asked Questions on LCM of 2322 and 2328

1. What is the LCM of 2322 and 2328?

Answer: LCM of 2322 and 2328 is 900936.

2. What are the Factors of 2322?

Answer: Factors of 2322 are 1, 2, 3, 6, 9, 18, 27, 43, 54, 86, 129, 258, 387, 774, 1161, 2322. There are 16 integers that are factors of 2322. The greatest factor of 2322 is 2322.

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 2322 and 2328?

Answer:

Least Common Multiple of 2322 and 2328 = 900936

Step 1: Find the prime factorization of 2322

2322 = 2 x 3 x 3 x 3 x 43

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 = 900936 = 2 x 2 x 2 x 3 x 3 x 3 x 43 x 97

Step 4: Therefore, the least common multiple of 2322 and 2328 is 900936.