Least Common Multiple of 2300 and 2305

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 2305 the smallest integer that is 1060300 that is divisible by both numbers.

Least Common Multiple (LCM) of 2300 and 2305 is 1060300.

LCM(2300,2305) = 1060300

LCM of 2300 and 2305

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

LCM of:
and

Least Common Multiple of 2300 and 2305

LCM of 2300 and 2305 is 1060300

Least common multiple can be found by multiplying the highest exponent prime factors of 2300 and 2305. First we will calculate the prime factors of 2300 and 2305.

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 2305


5 2305
461 461
1

Prime factors of 2305 are 5,461. Prime factorization of 2305 in exponential form is:

2305 = 51×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 2300 and 2305.

LCM(2300,2305) = 22×52×231×4611
LCM(2300,2305) = 1060300

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 2305

List of positive integer factors of 2305 that divides 2305 without a remainder.

1, 5, 461, 2305

Least Common Multiple of 2300 and 2305 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 2305, than apply into the LCM equation.

GCF(2300,2305) = 5
LCM(2300,2305) = ( 2300 × 2305) / 5
LCM(2300,2305) = 5301500 / 5
LCM(2300,2305) = 1060300

Properties of LCM 2300 and 2305

(i) The LCM of 2305 and 2300 is associative

LCM of 2300 and 2305 = LCM of 2305 and 2300

Related Least Common Multiples of 2300

Related Least Common Multiples of 2305

Frequently Asked Questions on LCM of 2300 and 2305

1. What is the LCM of 2300 and 2305?

Answer: LCM of 2300 and 2305 is 1060300.

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 2305?

Answer: Factors of 2305 are 1, 5, 461, 2305. There are 4 integers that are factors of 2305. The greatest factor of 2305 is 2305.

4. How to Find the LCM of 2300 and 2305?

Answer:

Least Common Multiple of 2300 and 2305 = 1060300

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 2305

2305 = 5 x 461

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

LCM = 1060300 = 2 x 2 x 5 x 5 x 23 x 461

Step 4: Therefore, the least common multiple of 2300 and 2305 is 1060300.