Least Common Multiple of 2320 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 2320 and 2326 the smallest integer that is 2698160 that is divisible by both numbers.

Least Common Multiple (LCM) of 2320 and 2326 is 2698160.

LCM(2320,2326) = 2698160

LCM of 2320 and 2326

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

LCM of:
and

Least Common Multiple of 2320 and 2326

LCM of 2320 and 2326 is 2698160

Least common multiple can be found by multiplying the highest exponent prime factors of 2320 and 2326. First we will calculate the prime factors of 2320 and 2326.

Prime Factorization of 2320


2 2320
2 1160
2 580
2 290
5 145
29 29
1

Prime factors of 2320 are 2, 5,29. Prime factorization of 2320 in exponential form is:

2320 = 24×51×291

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 2320 and 2326.

LCM(2320,2326) = 24×51×291×11631
LCM(2320,2326) = 2698160

Factors of 2320

List of positive integer factors of 2320 that divides 2320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320

Factors of 2326

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

1, 2, 1163, 2326

Least Common Multiple of 2320 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 2320 and 2326, than apply into the LCM equation.

GCF(2320,2326) = 2
LCM(2320,2326) = ( 2320 × 2326) / 2
LCM(2320,2326) = 5396320 / 2
LCM(2320,2326) = 2698160

Properties of LCM 2320 and 2326

(i) The LCM of 2326 and 2320 is associative

LCM of 2320 and 2326 = LCM of 2326 and 2320

Related Least Common Multiples of 2320

Related Least Common Multiples of 2326

Frequently Asked Questions on LCM of 2320 and 2326

1. What is the LCM of 2320 and 2326?

Answer: LCM of 2320 and 2326 is 2698160.

2. What are the Factors of 2320?

Answer: Factors of 2320 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320. There are 20 integers that are factors of 2320. The greatest factor of 2320 is 2320.

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 2320 and 2326?

Answer:

Least Common Multiple of 2320 and 2326 = 2698160

Step 1: Find the prime factorization of 2320

2320 = 2 x 2 x 2 x 2 x 5 x 29

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 = 2698160 = 2 x 2 x 2 x 2 x 5 x 29 x 1163

Step 4: Therefore, the least common multiple of 2320 and 2326 is 2698160.