Least Common Multiple of 2300 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 2300 and 2307 the smallest integer that is 5306100 that is divisible by both numbers.

Least Common Multiple (LCM) of 2300 and 2307 is 5306100.

LCM(2300,2307) = 5306100

LCM of 2300 and 2307

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

LCM of:
and

Least Common Multiple of 2300 and 2307

LCM of 2300 and 2307 is 5306100

Least common multiple can be found by multiplying the highest exponent prime factors of 2300 and 2307. First we will calculate the prime factors of 2300 and 2307.

Prime Factorization of 2300


2 2300
2 1150
5 575
5 115
23 23
1

Prime factors of 2300 are 2, 5,23. Prime factorization of 2300 in exponential form is:

2300 = 22×52×231

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 2300 and 2307.

LCM(2300,2307) = 22×31×52×231×7691
LCM(2300,2307) = 5306100

Factors of 2300

List of positive integer factors of 2300 that divides 2300 without a remainder.

1, 2, 4, 5, 10, 20, 23, 25, 46, 50, 92, 100, 115, 230, 460, 575, 1150, 2300

Factors of 2307

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

1, 3, 769, 2307

Least Common Multiple of 2300 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 2300 and 2307, than apply into the LCM equation.

GCF(2300,2307) = 1
LCM(2300,2307) = ( 2300 × 2307) / 1
LCM(2300,2307) = 5306100 / 1
LCM(2300,2307) = 5306100

Properties of LCM 2300 and 2307

(i) The LCM of 2307 and 2300 is associative

LCM of 2300 and 2307 = LCM of 2307 and 2300

Related Least Common Multiples of 2300

Related Least Common Multiples of 2307

Frequently Asked Questions on LCM of 2300 and 2307

1. What is the LCM of 2300 and 2307?

Answer: LCM of 2300 and 2307 is 5306100.

2. What are the Factors of 2300?

Answer: Factors of 2300 are 1, 2, 4, 5, 10, 20, 23, 25, 46, 50, 92, 100, 115, 230, 460, 575, 1150, 2300. There are 18 integers that are factors of 2300. The greatest factor of 2300 is 2300.

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 2300 and 2307?

Answer:

Least Common Multiple of 2300 and 2307 = 5306100

Step 1: Find the prime factorization of 2300

2300 = 2 x 2 x 5 x 5 x 23

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 = 5306100 = 2 x 2 x 3 x 5 x 5 x 23 x 769

Step 4: Therefore, the least common multiple of 2300 and 2307 is 5306100.