Least Common Multiple of 2296 and 2304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2296 and 2304 the smallest integer that is 661248 that is divisible by both numbers.

Least Common Multiple (LCM) of 2296 and 2304 is 661248.

LCM(2296,2304) = 661248

LCM of 2296 and 2304

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

LCM of:
and

Least Common Multiple of 2296 and 2304

LCM of 2296 and 2304 is 661248

Least common multiple can be found by multiplying the highest exponent prime factors of 2296 and 2304. First we will calculate the prime factors of 2296 and 2304.

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

Prime Factorization of 2304


2 2304
2 1152
2 576
2 288
2 144
2 72
2 36
2 18
3 9
3 3
1

Prime factors of 2304 are 2,3. Prime factorization of 2304 in exponential form is:

2304 = 28×32

Now multiplying the highest exponent prime factors to calculate the LCM of 2296 and 2304.

LCM(2296,2304) = 28×32×71×411
LCM(2296,2304) = 661248

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

Factors of 2304

List of positive integer factors of 2304 that divides 2304 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 576, 768, 1152, 2304

Least Common Multiple of 2296 and 2304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2296 and 2304, than apply into the LCM equation.

GCF(2296,2304) = 8
LCM(2296,2304) = ( 2296 × 2304) / 8
LCM(2296,2304) = 5289984 / 8
LCM(2296,2304) = 661248

Properties of LCM 2296 and 2304

(i) The LCM of 2304 and 2296 is associative

LCM of 2296 and 2304 = LCM of 2304 and 2296

Related Least Common Multiples of 2296

Related Least Common Multiples of 2304

Frequently Asked Questions on LCM of 2296 and 2304

1. What is the LCM of 2296 and 2304?

Answer: LCM of 2296 and 2304 is 661248.

2. 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.

3. What are the Factors of 2304?

Answer: Factors of 2304 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 576, 768, 1152, 2304. There are 27 integers that are factors of 2304. The greatest factor of 2304 is 2304.

4. How to Find the LCM of 2296 and 2304?

Answer:

Least Common Multiple of 2296 and 2304 = 661248

Step 1: Find the prime factorization of 2296

2296 = 2 x 2 x 2 x 7 x 41

Step 2: Find the prime factorization of 2304

2304 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

LCM = 661248 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 41

Step 4: Therefore, the least common multiple of 2296 and 2304 is 661248.