Least Common Multiple of 2304 and 2309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2304 and 2309 the smallest integer that is 5319936 that is divisible by both numbers.

Least Common Multiple (LCM) of 2304 and 2309 is 5319936.

LCM(2304,2309) = 5319936

LCM of 2304 and 2309

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

LCM of:
and

Least Common Multiple of 2304 and 2309

LCM of 2304 and 2309 is 5319936

Least common multiple can be found by multiplying the highest exponent prime factors of 2304 and 2309. First we will calculate the prime factors of 2304 and 2309.

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

Prime Factorization of 2309


2309 2309
1

Prime factors of 2309 are 2309. Prime factorization of 2309 in exponential form is:

2309 = 23091

Now multiplying the highest exponent prime factors to calculate the LCM of 2304 and 2309.

LCM(2304,2309) = 28×32×23091
LCM(2304,2309) = 5319936

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

Factors of 2309

List of positive integer factors of 2309 that divides 2309 without a remainder.

1, 2309

Least Common Multiple of 2304 and 2309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2304 and 2309, than apply into the LCM equation.

GCF(2304,2309) = 1
LCM(2304,2309) = ( 2304 × 2309) / 1
LCM(2304,2309) = 5319936 / 1
LCM(2304,2309) = 5319936

Properties of LCM 2304 and 2309

(i) The LCM of 2309 and 2304 is associative

LCM of 2304 and 2309 = LCM of 2309 and 2304

Related Least Common Multiples of 2304

Related Least Common Multiples of 2309

Frequently Asked Questions on LCM of 2304 and 2309

1. What is the LCM of 2304 and 2309?

Answer: LCM of 2304 and 2309 is 5319936.

2. 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.

3. What are the Factors of 2309?

Answer: Factors of 2309 are 1, 2309. There are 2 integers that are factors of 2309. The greatest factor of 2309 is 2309.

4. How to Find the LCM of 2304 and 2309?

Answer:

Least Common Multiple of 2304 and 2309 = 5319936

Step 1: 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 2: Find the prime factorization of 2309

2309 = 2309

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

LCM = 5319936 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 2309

Step 4: Therefore, the least common multiple of 2304 and 2309 is 5319936.