Least Common Multiple of 2303 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 2303 and 2304 the smallest integer that is 5306112 that is divisible by both numbers.

Least Common Multiple (LCM) of 2303 and 2304 is 5306112.

LCM(2303,2304) = 5306112

LCM of 2303 and 2304

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

LCM of:
and

Least Common Multiple of 2303 and 2304

LCM of 2303 and 2304 is 5306112

Least common multiple can be found by multiplying the highest exponent prime factors of 2303 and 2304. First we will calculate the prime factors of 2303 and 2304.

Prime Factorization of 2303


7 2303
7 329
47 47
1

Prime factors of 2303 are 7,47. Prime factorization of 2303 in exponential form is:

2303 = 72×471

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 2303 and 2304.

LCM(2303,2304) = 28×32×72×471
LCM(2303,2304) = 5306112

Factors of 2303

List of positive integer factors of 2303 that divides 2303 without a remainder.

1, 7, 47, 49, 329, 2303

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 2303 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 2303 and 2304, than apply into the LCM equation.

GCF(2303,2304) = 1
LCM(2303,2304) = ( 2303 × 2304) / 1
LCM(2303,2304) = 5306112 / 1
LCM(2303,2304) = 5306112

Properties of LCM 2303 and 2304

(i) The LCM of 2304 and 2303 is associative

LCM of 2303 and 2304 = LCM of 2304 and 2303

Related Least Common Multiples of 2303

Related Least Common Multiples of 2304

Frequently Asked Questions on LCM of 2303 and 2304

1. What is the LCM of 2303 and 2304?

Answer: LCM of 2303 and 2304 is 5306112.

2. What are the Factors of 2303?

Answer: Factors of 2303 are 1, 7, 47, 49, 329, 2303. There are 6 integers that are factors of 2303. The greatest factor of 2303 is 2303.

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 2303 and 2304?

Answer:

Least Common Multiple of 2303 and 2304 = 5306112

Step 1: Find the prime factorization of 2303

2303 = 7 x 7 x 47

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 = 5306112 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 x 47

Step 4: Therefore, the least common multiple of 2303 and 2304 is 5306112.