Least Common Multiple of 2300 and 2301

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 2301 the smallest integer that is 5292300 that is divisible by both numbers.

Least Common Multiple (LCM) of 2300 and 2301 is 5292300.

LCM(2300,2301) = 5292300

LCM of 2300 and 2301

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

LCM of:
and

Least Common Multiple of 2300 and 2301

LCM of 2300 and 2301 is 5292300

Least common multiple can be found by multiplying the highest exponent prime factors of 2300 and 2301. First we will calculate the prime factors of 2300 and 2301.

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 2301


3 2301
13 767
59 59
1

Prime factors of 2301 are 3, 13,59. Prime factorization of 2301 in exponential form is:

2301 = 31×131×591

Now multiplying the highest exponent prime factors to calculate the LCM of 2300 and 2301.

LCM(2300,2301) = 22×31×52×131×231×591
LCM(2300,2301) = 5292300

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 2301

List of positive integer factors of 2301 that divides 2301 without a remainder.

1, 3, 13, 39, 59, 177, 767, 2301

Least Common Multiple of 2300 and 2301 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 2301, than apply into the LCM equation.

GCF(2300,2301) = 1
LCM(2300,2301) = ( 2300 × 2301) / 1
LCM(2300,2301) = 5292300 / 1
LCM(2300,2301) = 5292300

Properties of LCM 2300 and 2301

(i) The LCM of 2301 and 2300 is associative

LCM of 2300 and 2301 = LCM of 2301 and 2300

Related Least Common Multiples of 2300

Related Least Common Multiples of 2301

Frequently Asked Questions on LCM of 2300 and 2301

1. What is the LCM of 2300 and 2301?

Answer: LCM of 2300 and 2301 is 5292300.

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 2301?

Answer: Factors of 2301 are 1, 3, 13, 39, 59, 177, 767, 2301. There are 8 integers that are factors of 2301. The greatest factor of 2301 is 2301.

4. How to Find the LCM of 2300 and 2301?

Answer:

Least Common Multiple of 2300 and 2301 = 5292300

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 2301

2301 = 3 x 13 x 59

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

LCM = 5292300 = 2 x 2 x 3 x 5 x 5 x 13 x 23 x 59

Step 4: Therefore, the least common multiple of 2300 and 2301 is 5292300.