Least Common Multiple of 2304 and 2308

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 2308 the smallest integer that is 1329408 that is divisible by both numbers.

Least Common Multiple (LCM) of 2304 and 2308 is 1329408.

LCM(2304,2308) = 1329408

LCM of 2304 and 2308

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

LCM of:
and

Least Common Multiple of 2304 and 2308

LCM of 2304 and 2308 is 1329408

Least common multiple can be found by multiplying the highest exponent prime factors of 2304 and 2308. First we will calculate the prime factors of 2304 and 2308.

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 2308


2 2308
2 1154
577 577
1

Prime factors of 2308 are 2,577. Prime factorization of 2308 in exponential form is:

2308 = 22×5771

Now multiplying the highest exponent prime factors to calculate the LCM of 2304 and 2308.

LCM(2304,2308) = 28×32×5771
LCM(2304,2308) = 1329408

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 2308

List of positive integer factors of 2308 that divides 2308 without a remainder.

1, 2, 4, 577, 1154, 2308

Least Common Multiple of 2304 and 2308 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 2308, than apply into the LCM equation.

GCF(2304,2308) = 4
LCM(2304,2308) = ( 2304 × 2308) / 4
LCM(2304,2308) = 5317632 / 4
LCM(2304,2308) = 1329408

Properties of LCM 2304 and 2308

(i) The LCM of 2308 and 2304 is associative

LCM of 2304 and 2308 = LCM of 2308 and 2304

Related Least Common Multiples of 2304

Related Least Common Multiples of 2308

Frequently Asked Questions on LCM of 2304 and 2308

1. What is the LCM of 2304 and 2308?

Answer: LCM of 2304 and 2308 is 1329408.

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 2308?

Answer: Factors of 2308 are 1, 2, 4, 577, 1154, 2308. There are 6 integers that are factors of 2308. The greatest factor of 2308 is 2308.

4. How to Find the LCM of 2304 and 2308?

Answer:

Least Common Multiple of 2304 and 2308 = 1329408

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 2308

2308 = 2 x 2 x 577

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

LCM = 1329408 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 577

Step 4: Therefore, the least common multiple of 2304 and 2308 is 1329408.