Least Common Multiple of 2288 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 2288 and 2295 the smallest integer that is 5250960 that is divisible by both numbers.

Least Common Multiple (LCM) of 2288 and 2295 is 5250960.

LCM(2288,2295) = 5250960

LCM of 2288 and 2295

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

LCM of:
and

Least Common Multiple of 2288 and 2295

LCM of 2288 and 2295 is 5250960

Least common multiple can be found by multiplying the highest exponent prime factors of 2288 and 2295. First we will calculate the prime factors of 2288 and 2295.

Prime Factorization of 2288


2 2288
2 1144
2 572
2 286
11 143
13 13
1

Prime factors of 2288 are 2, 11,13. Prime factorization of 2288 in exponential form is:

2288 = 24×111×131

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 2288 and 2295.

LCM(2288,2295) = 24×33×51×111×131×171
LCM(2288,2295) = 5250960

Factors of 2288

List of positive integer factors of 2288 that divides 2288 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 44, 52, 88, 104, 143, 176, 208, 286, 572, 1144, 2288

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 2288 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 2288 and 2295, than apply into the LCM equation.

GCF(2288,2295) = 1
LCM(2288,2295) = ( 2288 × 2295) / 1
LCM(2288,2295) = 5250960 / 1
LCM(2288,2295) = 5250960

Properties of LCM 2288 and 2295

(i) The LCM of 2295 and 2288 is associative

LCM of 2288 and 2295 = LCM of 2295 and 2288

Related Least Common Multiples of 2288

Related Least Common Multiples of 2295

Frequently Asked Questions on LCM of 2288 and 2295

1. What is the LCM of 2288 and 2295?

Answer: LCM of 2288 and 2295 is 5250960.

2. What are the Factors of 2288?

Answer: Factors of 2288 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 44, 52, 88, 104, 143, 176, 208, 286, 572, 1144, 2288. There are 20 integers that are factors of 2288. The greatest factor of 2288 is 2288.

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 2288 and 2295?

Answer:

Least Common Multiple of 2288 and 2295 = 5250960

Step 1: Find the prime factorization of 2288

2288 = 2 x 2 x 2 x 2 x 11 x 13

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 = 5250960 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 11 x 13 x 17

Step 4: Therefore, the least common multiple of 2288 and 2295 is 5250960.