Least Common Multiple of 2289 and 2293

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 2293 the smallest integer that is 5248677 that is divisible by both numbers.

Least Common Multiple (LCM) of 2289 and 2293 is 5248677.

LCM(2289,2293) = 5248677

LCM of 2289 and 2293

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

LCM of:
and

Least Common Multiple of 2289 and 2293

LCM of 2289 and 2293 is 5248677

Least common multiple can be found by multiplying the highest exponent prime factors of 2289 and 2293. First we will calculate the prime factors of 2289 and 2293.

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 2293


2293 2293
1

Prime factors of 2293 are 2293. Prime factorization of 2293 in exponential form is:

2293 = 22931

Now multiplying the highest exponent prime factors to calculate the LCM of 2289 and 2293.

LCM(2289,2293) = 31×71×1091×22931
LCM(2289,2293) = 5248677

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 2293

List of positive integer factors of 2293 that divides 2293 without a remainder.

1, 2293

Least Common Multiple of 2289 and 2293 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 2293, than apply into the LCM equation.

GCF(2289,2293) = 1
LCM(2289,2293) = ( 2289 × 2293) / 1
LCM(2289,2293) = 5248677 / 1
LCM(2289,2293) = 5248677

Properties of LCM 2289 and 2293

(i) The LCM of 2293 and 2289 is associative

LCM of 2289 and 2293 = LCM of 2293 and 2289

Related Least Common Multiples of 2289

Related Least Common Multiples of 2293

Frequently Asked Questions on LCM of 2289 and 2293

1. What is the LCM of 2289 and 2293?

Answer: LCM of 2289 and 2293 is 5248677.

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 2293?

Answer: Factors of 2293 are 1, 2293. There are 2 integers that are factors of 2293. The greatest factor of 2293 is 2293.

4. How to Find the LCM of 2289 and 2293?

Answer:

Least Common Multiple of 2289 and 2293 = 5248677

Step 1: Find the prime factorization of 2289

2289 = 3 x 7 x 109

Step 2: Find the prime factorization of 2293

2293 = 2293

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

LCM = 5248677 = 3 x 7 x 109 x 2293

Step 4: Therefore, the least common multiple of 2289 and 2293 is 5248677.