Least Common Multiple of 2301 and 2309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2301 and 2309 the smallest integer that is 5313009 that is divisible by both numbers.

Least Common Multiple (LCM) of 2301 and 2309 is 5313009.

LCM(2301,2309) = 5313009

LCM of 2301 and 2309

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

LCM of:
and

Least Common Multiple of 2301 and 2309

LCM of 2301 and 2309 is 5313009

Least common multiple can be found by multiplying the highest exponent prime factors of 2301 and 2309. First we will calculate the prime factors of 2301 and 2309.

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

Prime Factorization of 2309


2309 2309
1

Prime factors of 2309 are 2309. Prime factorization of 2309 in exponential form is:

2309 = 23091

Now multiplying the highest exponent prime factors to calculate the LCM of 2301 and 2309.

LCM(2301,2309) = 31×131×591×23091
LCM(2301,2309) = 5313009

Factors of 2301

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

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

Factors of 2309

List of positive integer factors of 2309 that divides 2309 without a remainder.

1, 2309

Least Common Multiple of 2301 and 2309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2301 and 2309, than apply into the LCM equation.

GCF(2301,2309) = 1
LCM(2301,2309) = ( 2301 × 2309) / 1
LCM(2301,2309) = 5313009 / 1
LCM(2301,2309) = 5313009

Properties of LCM 2301 and 2309

(i) The LCM of 2309 and 2301 is associative

LCM of 2301 and 2309 = LCM of 2309 and 2301

Related Least Common Multiples of 2301

Related Least Common Multiples of 2309

Frequently Asked Questions on LCM of 2301 and 2309

1. What is the LCM of 2301 and 2309?

Answer: LCM of 2301 and 2309 is 5313009.

2. 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.

3. What are the Factors of 2309?

Answer: Factors of 2309 are 1, 2309. There are 2 integers that are factors of 2309. The greatest factor of 2309 is 2309.

4. How to Find the LCM of 2301 and 2309?

Answer:

Least Common Multiple of 2301 and 2309 = 5313009

Step 1: Find the prime factorization of 2301

2301 = 3 x 13 x 59

Step 2: Find the prime factorization of 2309

2309 = 2309

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

LCM = 5313009 = 3 x 13 x 59 x 2309

Step 4: Therefore, the least common multiple of 2301 and 2309 is 5313009.