Least Common Multiple of 2322 and 2326

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 2326 the smallest integer that is 2700486 that is divisible by both numbers.

Least Common Multiple (LCM) of 2322 and 2326 is 2700486.

LCM(2322,2326) = 2700486

LCM of 2322 and 2326

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

LCM of:
and

Least Common Multiple of 2322 and 2326

LCM of 2322 and 2326 is 2700486

Least common multiple can be found by multiplying the highest exponent prime factors of 2322 and 2326. First we will calculate the prime factors of 2322 and 2326.

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 2326


2 2326
1163 1163
1

Prime factors of 2326 are 2,1163. Prime factorization of 2326 in exponential form is:

2326 = 21×11631

Now multiplying the highest exponent prime factors to calculate the LCM of 2322 and 2326.

LCM(2322,2326) = 21×33×431×11631
LCM(2322,2326) = 2700486

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 2326

List of positive integer factors of 2326 that divides 2326 without a remainder.

1, 2, 1163, 2326

Least Common Multiple of 2322 and 2326 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 2326, than apply into the LCM equation.

GCF(2322,2326) = 2
LCM(2322,2326) = ( 2322 × 2326) / 2
LCM(2322,2326) = 5400972 / 2
LCM(2322,2326) = 2700486

Properties of LCM 2322 and 2326

(i) The LCM of 2326 and 2322 is associative

LCM of 2322 and 2326 = LCM of 2326 and 2322

Related Least Common Multiples of 2322

Related Least Common Multiples of 2326

Frequently Asked Questions on LCM of 2322 and 2326

1. What is the LCM of 2322 and 2326?

Answer: LCM of 2322 and 2326 is 2700486.

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 2326?

Answer: Factors of 2326 are 1, 2, 1163, 2326. There are 4 integers that are factors of 2326. The greatest factor of 2326 is 2326.

4. How to Find the LCM of 2322 and 2326?

Answer:

Least Common Multiple of 2322 and 2326 = 2700486

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 2326

2326 = 2 x 1163

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

LCM = 2700486 = 2 x 3 x 3 x 3 x 43 x 1163

Step 4: Therefore, the least common multiple of 2322 and 2326 is 2700486.