Least Common Multiple of 2304 and 2307

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 2307 the smallest integer that is 1771776 that is divisible by both numbers.

Least Common Multiple (LCM) of 2304 and 2307 is 1771776.

LCM(2304,2307) = 1771776

LCM of 2304 and 2307

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

LCM of:
and

Least Common Multiple of 2304 and 2307

LCM of 2304 and 2307 is 1771776

Least common multiple can be found by multiplying the highest exponent prime factors of 2304 and 2307. First we will calculate the prime factors of 2304 and 2307.

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 2307


3 2307
769 769
1

Prime factors of 2307 are 3,769. Prime factorization of 2307 in exponential form is:

2307 = 31×7691

Now multiplying the highest exponent prime factors to calculate the LCM of 2304 and 2307.

LCM(2304,2307) = 28×32×7691
LCM(2304,2307) = 1771776

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 2307

List of positive integer factors of 2307 that divides 2307 without a remainder.

1, 3, 769, 2307

Least Common Multiple of 2304 and 2307 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 2307, than apply into the LCM equation.

GCF(2304,2307) = 3
LCM(2304,2307) = ( 2304 × 2307) / 3
LCM(2304,2307) = 5315328 / 3
LCM(2304,2307) = 1771776

Properties of LCM 2304 and 2307

(i) The LCM of 2307 and 2304 is associative

LCM of 2304 and 2307 = LCM of 2307 and 2304

Related Least Common Multiples of 2304

Related Least Common Multiples of 2307

Frequently Asked Questions on LCM of 2304 and 2307

1. What is the LCM of 2304 and 2307?

Answer: LCM of 2304 and 2307 is 1771776.

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 2307?

Answer: Factors of 2307 are 1, 3, 769, 2307. There are 4 integers that are factors of 2307. The greatest factor of 2307 is 2307.

4. How to Find the LCM of 2304 and 2307?

Answer:

Least Common Multiple of 2304 and 2307 = 1771776

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 2307

2307 = 3 x 769

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

LCM = 1771776 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 769

Step 4: Therefore, the least common multiple of 2304 and 2307 is 1771776.