Least Common Multiple of 2314 and 2317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2314 and 2317 the smallest integer that is 5361538 that is divisible by both numbers.

Least Common Multiple (LCM) of 2314 and 2317 is 5361538.

LCM(2314,2317) = 5361538

LCM of 2314 and 2317

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

LCM of:
and

Least Common Multiple of 2314 and 2317

LCM of 2314 and 2317 is 5361538

Least common multiple can be found by multiplying the highest exponent prime factors of 2314 and 2317. First we will calculate the prime factors of 2314 and 2317.

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

Prime Factorization of 2317


7 2317
331 331
1

Prime factors of 2317 are 7,331. Prime factorization of 2317 in exponential form is:

2317 = 71×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 2314 and 2317.

LCM(2314,2317) = 21×71×131×891×3311
LCM(2314,2317) = 5361538

Factors of 2314

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

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

Factors of 2317

List of positive integer factors of 2317 that divides 2317 without a remainder.

1, 7, 331, 2317

Least Common Multiple of 2314 and 2317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2314 and 2317, than apply into the LCM equation.

GCF(2314,2317) = 1
LCM(2314,2317) = ( 2314 × 2317) / 1
LCM(2314,2317) = 5361538 / 1
LCM(2314,2317) = 5361538

Properties of LCM 2314 and 2317

(i) The LCM of 2317 and 2314 is associative

LCM of 2314 and 2317 = LCM of 2317 and 2314

Related Least Common Multiples of 2314

Related Least Common Multiples of 2317

Frequently Asked Questions on LCM of 2314 and 2317

1. What is the LCM of 2314 and 2317?

Answer: LCM of 2314 and 2317 is 5361538.

2. 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.

3. What are the Factors of 2317?

Answer: Factors of 2317 are 1, 7, 331, 2317. There are 4 integers that are factors of 2317. The greatest factor of 2317 is 2317.

4. How to Find the LCM of 2314 and 2317?

Answer:

Least Common Multiple of 2314 and 2317 = 5361538

Step 1: Find the prime factorization of 2314

2314 = 2 x 13 x 89

Step 2: Find the prime factorization of 2317

2317 = 7 x 331

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

LCM = 5361538 = 2 x 7 x 13 x 89 x 331

Step 4: Therefore, the least common multiple of 2314 and 2317 is 5361538.