Least Common Multiple of 2289 and 2295

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 2295 the smallest integer that is 1751085 that is divisible by both numbers.

Least Common Multiple (LCM) of 2289 and 2295 is 1751085.

LCM(2289,2295) = 1751085

LCM of 2289 and 2295

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

LCM of:
and

Least Common Multiple of 2289 and 2295

LCM of 2289 and 2295 is 1751085

Least common multiple can be found by multiplying the highest exponent prime factors of 2289 and 2295. First we will calculate the prime factors of 2289 and 2295.

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 2295


3 2295
3 765
3 255
5 85
17 17
1

Prime factors of 2295 are 3, 5,17. Prime factorization of 2295 in exponential form is:

2295 = 33×51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 2289 and 2295.

LCM(2289,2295) = 33×51×71×171×1091
LCM(2289,2295) = 1751085

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 2295

List of positive integer factors of 2295 that divides 2295 without a remainder.

1, 3, 5, 9, 15, 17, 27, 45, 51, 85, 135, 153, 255, 459, 765, 2295

Least Common Multiple of 2289 and 2295 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 2295, than apply into the LCM equation.

GCF(2289,2295) = 3
LCM(2289,2295) = ( 2289 × 2295) / 3
LCM(2289,2295) = 5253255 / 3
LCM(2289,2295) = 1751085

Properties of LCM 2289 and 2295

(i) The LCM of 2295 and 2289 is associative

LCM of 2289 and 2295 = LCM of 2295 and 2289

Related Least Common Multiples of 2289

Related Least Common Multiples of 2295

Frequently Asked Questions on LCM of 2289 and 2295

1. What is the LCM of 2289 and 2295?

Answer: LCM of 2289 and 2295 is 1751085.

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 2295?

Answer: Factors of 2295 are 1, 3, 5, 9, 15, 17, 27, 45, 51, 85, 135, 153, 255, 459, 765, 2295. There are 16 integers that are factors of 2295. The greatest factor of 2295 is 2295.

4. How to Find the LCM of 2289 and 2295?

Answer:

Least Common Multiple of 2289 and 2295 = 1751085

Step 1: Find the prime factorization of 2289

2289 = 3 x 7 x 109

Step 2: Find the prime factorization of 2295

2295 = 3 x 3 x 3 x 5 x 17

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

LCM = 1751085 = 3 x 3 x 3 x 5 x 7 x 17 x 109

Step 4: Therefore, the least common multiple of 2289 and 2295 is 1751085.