Least Common Multiple of 2302 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 2302 and 2309 the smallest integer that is 5315318 that is divisible by both numbers.

Least Common Multiple (LCM) of 2302 and 2309 is 5315318.

LCM(2302,2309) = 5315318

LCM of 2302 and 2309

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

LCM of:
and

Least Common Multiple of 2302 and 2309

LCM of 2302 and 2309 is 5315318

Least common multiple can be found by multiplying the highest exponent prime factors of 2302 and 2309. First we will calculate the prime factors of 2302 and 2309.

Prime Factorization of 2302


2 2302
1151 1151
1

Prime factors of 2302 are 2,1151. Prime factorization of 2302 in exponential form is:

2302 = 21×11511

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 2302 and 2309.

LCM(2302,2309) = 21×11511×23091
LCM(2302,2309) = 5315318

Factors of 2302

List of positive integer factors of 2302 that divides 2302 without a remainder.

1, 2, 1151, 2302

Factors of 2309

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

1, 2309

Least Common Multiple of 2302 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 2302 and 2309, than apply into the LCM equation.

GCF(2302,2309) = 1
LCM(2302,2309) = ( 2302 × 2309) / 1
LCM(2302,2309) = 5315318 / 1
LCM(2302,2309) = 5315318

Properties of LCM 2302 and 2309

(i) The LCM of 2309 and 2302 is associative

LCM of 2302 and 2309 = LCM of 2309 and 2302

Related Least Common Multiples of 2302

Related Least Common Multiples of 2309

Frequently Asked Questions on LCM of 2302 and 2309

1. What is the LCM of 2302 and 2309?

Answer: LCM of 2302 and 2309 is 5315318.

2. What are the Factors of 2302?

Answer: Factors of 2302 are 1, 2, 1151, 2302. There are 4 integers that are factors of 2302. The greatest factor of 2302 is 2302.

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 2302 and 2309?

Answer:

Least Common Multiple of 2302 and 2309 = 5315318

Step 1: Find the prime factorization of 2302

2302 = 2 x 1151

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 = 5315318 = 2 x 1151 x 2309

Step 4: Therefore, the least common multiple of 2302 and 2309 is 5315318.