Least Common Multiple of 2301 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 2301 and 2307 the smallest integer that is 1769469 that is divisible by both numbers.

Least Common Multiple (LCM) of 2301 and 2307 is 1769469.

LCM(2301,2307) = 1769469

LCM of 2301 and 2307

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

LCM of:
and

Least Common Multiple of 2301 and 2307

LCM of 2301 and 2307 is 1769469

Least common multiple can be found by multiplying the highest exponent prime factors of 2301 and 2307. First we will calculate the prime factors of 2301 and 2307.

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 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 2301 and 2307.

LCM(2301,2307) = 31×131×591×7691
LCM(2301,2307) = 1769469

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 2307

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

1, 3, 769, 2307

Least Common Multiple of 2301 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 2301 and 2307, than apply into the LCM equation.

GCF(2301,2307) = 3
LCM(2301,2307) = ( 2301 × 2307) / 3
LCM(2301,2307) = 5308407 / 3
LCM(2301,2307) = 1769469

Properties of LCM 2301 and 2307

(i) The LCM of 2307 and 2301 is associative

LCM of 2301 and 2307 = LCM of 2307 and 2301

Related Least Common Multiples of 2301

Related Least Common Multiples of 2307

Frequently Asked Questions on LCM of 2301 and 2307

1. What is the LCM of 2301 and 2307?

Answer: LCM of 2301 and 2307 is 1769469.

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 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 2301 and 2307?

Answer:

Least Common Multiple of 2301 and 2307 = 1769469

Step 1: Find the prime factorization of 2301

2301 = 3 x 13 x 59

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 = 1769469 = 3 x 13 x 59 x 769

Step 4: Therefore, the least common multiple of 2301 and 2307 is 1769469.