Least Common Multiple of 2309 and 2314

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 2314 the smallest integer that is 5343026 that is divisible by both numbers.

Least Common Multiple (LCM) of 2309 and 2314 is 5343026.

LCM(2309,2314) = 5343026

LCM of 2309 and 2314

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

LCM of:
and

Least Common Multiple of 2309 and 2314

LCM of 2309 and 2314 is 5343026

Least common multiple can be found by multiplying the highest exponent prime factors of 2309 and 2314. First we will calculate the prime factors of 2309 and 2314.

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 2314


2 2314
13 1157
89 89
1

Prime factors of 2314 are 2, 13,89. Prime factorization of 2314 in exponential form is:

2314 = 21×131×891

Now multiplying the highest exponent prime factors to calculate the LCM of 2309 and 2314.

LCM(2309,2314) = 21×131×891×23091
LCM(2309,2314) = 5343026

Factors of 2309

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

1, 2309

Factors of 2314

List of positive integer factors of 2314 that divides 2314 without a remainder.

1, 2, 13, 26, 89, 178, 1157, 2314

Least Common Multiple of 2309 and 2314 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 2314, than apply into the LCM equation.

GCF(2309,2314) = 1
LCM(2309,2314) = ( 2309 × 2314) / 1
LCM(2309,2314) = 5343026 / 1
LCM(2309,2314) = 5343026

Properties of LCM 2309 and 2314

(i) The LCM of 2314 and 2309 is associative

LCM of 2309 and 2314 = LCM of 2314 and 2309

Related Least Common Multiples of 2309

Related Least Common Multiples of 2314

Frequently Asked Questions on LCM of 2309 and 2314

1. What is the LCM of 2309 and 2314?

Answer: LCM of 2309 and 2314 is 5343026.

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 2314?

Answer: Factors of 2314 are 1, 2, 13, 26, 89, 178, 1157, 2314. There are 8 integers that are factors of 2314. The greatest factor of 2314 is 2314.

4. How to Find the LCM of 2309 and 2314?

Answer:

Least Common Multiple of 2309 and 2314 = 5343026

Step 1: Find the prime factorization of 2309

2309 = 2309

Step 2: Find the prime factorization of 2314

2314 = 2 x 13 x 89

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

LCM = 5343026 = 2 x 13 x 89 x 2309

Step 4: Therefore, the least common multiple of 2309 and 2314 is 5343026.