Least Common Multiple of 2289 and 2296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2289 and 2296 the smallest integer that is 750792 that is divisible by both numbers.

Least Common Multiple (LCM) of 2289 and 2296 is 750792.

LCM(2289,2296) = 750792

LCM of 2289 and 2296

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

LCM of:
and

Least Common Multiple of 2289 and 2296

LCM of 2289 and 2296 is 750792

Least common multiple can be found by multiplying the highest exponent prime factors of 2289 and 2296. First we will calculate the prime factors of 2289 and 2296.

Prime Factorization of 2289


3 2289
7 763
109 109
1

Prime factors of 2289 are 3, 7,109. Prime factorization of 2289 in exponential form is:

2289 = 31×71×1091

Prime Factorization of 2296


2 2296
2 1148
2 574
7 287
41 41
1

Prime factors of 2296 are 2, 7,41. Prime factorization of 2296 in exponential form is:

2296 = 23×71×411

Now multiplying the highest exponent prime factors to calculate the LCM of 2289 and 2296.

LCM(2289,2296) = 23×31×71×411×1091
LCM(2289,2296) = 750792

Factors of 2289

List of positive integer factors of 2289 that divides 2289 without a remainder.

1, 3, 7, 21, 109, 327, 763, 2289

Factors of 2296

List of positive integer factors of 2296 that divides 2296 without a remainder.

1, 2, 4, 7, 8, 14, 28, 41, 56, 82, 164, 287, 328, 574, 1148, 2296

Least Common Multiple of 2289 and 2296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2289 and 2296, than apply into the LCM equation.

GCF(2289,2296) = 7
LCM(2289,2296) = ( 2289 × 2296) / 7
LCM(2289,2296) = 5255544 / 7
LCM(2289,2296) = 750792

Properties of LCM 2289 and 2296

(i) The LCM of 2296 and 2289 is associative

LCM of 2289 and 2296 = LCM of 2296 and 2289

Related Least Common Multiples of 2289

Related Least Common Multiples of 2296

Frequently Asked Questions on LCM of 2289 and 2296

1. What is the LCM of 2289 and 2296?

Answer: LCM of 2289 and 2296 is 750792.

2. What are the Factors of 2289?

Answer: Factors of 2289 are 1, 3, 7, 21, 109, 327, 763, 2289. There are 8 integers that are factors of 2289. The greatest factor of 2289 is 2289.

3. What are the Factors of 2296?

Answer: Factors of 2296 are 1, 2, 4, 7, 8, 14, 28, 41, 56, 82, 164, 287, 328, 574, 1148, 2296. There are 16 integers that are factors of 2296. The greatest factor of 2296 is 2296.

4. How to Find the LCM of 2289 and 2296?

Answer:

Least Common Multiple of 2289 and 2296 = 750792

Step 1: Find the prime factorization of 2289

2289 = 3 x 7 x 109

Step 2: Find the prime factorization of 2296

2296 = 2 x 2 x 2 x 7 x 41

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

LCM = 750792 = 2 x 2 x 2 x 3 x 7 x 41 x 109

Step 4: Therefore, the least common multiple of 2289 and 2296 is 750792.