Least Common Multiple of 2293 and 2300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2293 and 2300 the smallest integer that is 5273900 that is divisible by both numbers.

Least Common Multiple (LCM) of 2293 and 2300 is 5273900.

LCM(2293,2300) = 5273900

LCM of 2293 and 2300

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

LCM of:
and

Least Common Multiple of 2293 and 2300

LCM of 2293 and 2300 is 5273900

Least common multiple can be found by multiplying the highest exponent prime factors of 2293 and 2300. First we will calculate the prime factors of 2293 and 2300.

Prime Factorization of 2293


2293 2293
1

Prime factors of 2293 are 2293. Prime factorization of 2293 in exponential form is:

2293 = 22931

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2293 and 2300.

LCM(2293,2300) = 22×52×231×22931
LCM(2293,2300) = 5273900

Factors of 2293

List of positive integer factors of 2293 that divides 2293 without a remainder.

1, 2293

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

Least Common Multiple of 2293 and 2300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2293 and 2300, than apply into the LCM equation.

GCF(2293,2300) = 1
LCM(2293,2300) = ( 2293 × 2300) / 1
LCM(2293,2300) = 5273900 / 1
LCM(2293,2300) = 5273900

Properties of LCM 2293 and 2300

(i) The LCM of 2300 and 2293 is associative

LCM of 2293 and 2300 = LCM of 2300 and 2293

Related Least Common Multiples of 2293

Related Least Common Multiples of 2300

Frequently Asked Questions on LCM of 2293 and 2300

1. What is the LCM of 2293 and 2300?

Answer: LCM of 2293 and 2300 is 5273900.

2. What are the Factors of 2293?

Answer: Factors of 2293 are 1, 2293. There are 2 integers that are factors of 2293. The greatest factor of 2293 is 2293.

3. 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.

4. How to Find the LCM of 2293 and 2300?

Answer:

Least Common Multiple of 2293 and 2300 = 5273900

Step 1: Find the prime factorization of 2293

2293 = 2293

Step 2: Find the prime factorization of 2300

2300 = 2 x 2 x 5 x 5 x 23

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

LCM = 5273900 = 2 x 2 x 5 x 5 x 23 x 2293

Step 4: Therefore, the least common multiple of 2293 and 2300 is 5273900.