Least Common Multiple of 2309 and 2310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2309 and 2310 the smallest integer that is 5333790 that is divisible by both numbers.

Least Common Multiple (LCM) of 2309 and 2310 is 5333790.

LCM(2309,2310) = 5333790

LCM of 2309 and 2310

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

LCM of:
and

Least Common Multiple of 2309 and 2310

LCM of 2309 and 2310 is 5333790

Least common multiple can be found by multiplying the highest exponent prime factors of 2309 and 2310. First we will calculate the prime factors of 2309 and 2310.

Prime Factorization of 2309


2309 2309
1

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

2309 = 23091

Prime Factorization of 2310


2 2310
3 1155
5 385
7 77
11 11
1

Prime factors of 2310 are 2, 3, 5, 7,11. Prime factorization of 2310 in exponential form is:

2310 = 21×31×51×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 2309 and 2310.

LCM(2309,2310) = 21×31×51×71×111×23091
LCM(2309,2310) = 5333790

Factors of 2309

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

1, 2309

Factors of 2310

List of positive integer factors of 2310 that divides 2310 without a remainder.

1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42, 55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310

Least Common Multiple of 2309 and 2310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2309 and 2310, than apply into the LCM equation.

GCF(2309,2310) = 1
LCM(2309,2310) = ( 2309 × 2310) / 1
LCM(2309,2310) = 5333790 / 1
LCM(2309,2310) = 5333790

Properties of LCM 2309 and 2310

(i) The LCM of 2310 and 2309 is associative

LCM of 2309 and 2310 = LCM of 2310 and 2309

Related Least Common Multiples of 2309

Related Least Common Multiples of 2310

Frequently Asked Questions on LCM of 2309 and 2310

1. What is the LCM of 2309 and 2310?

Answer: LCM of 2309 and 2310 is 5333790.

2. 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.

3. What are the Factors of 2310?

Answer: Factors of 2310 are 1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42, 55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310. There are 32 integers that are factors of 2310. The greatest factor of 2310 is 2310.

4. How to Find the LCM of 2309 and 2310?

Answer:

Least Common Multiple of 2309 and 2310 = 5333790

Step 1: Find the prime factorization of 2309

2309 = 2309

Step 2: Find the prime factorization of 2310

2310 = 2 x 3 x 5 x 7 x 11

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

LCM = 5333790 = 2 x 3 x 5 x 7 x 11 x 2309

Step 4: Therefore, the least common multiple of 2309 and 2310 is 5333790.