Least Common Multiple of 2317 and 2321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2317 and 2321 the smallest integer that is 5377757 that is divisible by both numbers.

Least Common Multiple (LCM) of 2317 and 2321 is 5377757.

LCM(2317,2321) = 5377757

LCM of 2317 and 2321

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

LCM of:
and

Least Common Multiple of 2317 and 2321

LCM of 2317 and 2321 is 5377757

Least common multiple can be found by multiplying the highest exponent prime factors of 2317 and 2321. First we will calculate the prime factors of 2317 and 2321.

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

Prime Factorization of 2321


11 2321
211 211
1

Prime factors of 2321 are 11,211. Prime factorization of 2321 in exponential form is:

2321 = 111×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 2317 and 2321.

LCM(2317,2321) = 71×111×2111×3311
LCM(2317,2321) = 5377757

Factors of 2317

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

1, 7, 331, 2317

Factors of 2321

List of positive integer factors of 2321 that divides 2321 without a remainder.

1, 11, 211, 2321

Least Common Multiple of 2317 and 2321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2317 and 2321, than apply into the LCM equation.

GCF(2317,2321) = 1
LCM(2317,2321) = ( 2317 × 2321) / 1
LCM(2317,2321) = 5377757 / 1
LCM(2317,2321) = 5377757

Properties of LCM 2317 and 2321

(i) The LCM of 2321 and 2317 is associative

LCM of 2317 and 2321 = LCM of 2321 and 2317

Related Least Common Multiples of 2317

Related Least Common Multiples of 2321

Frequently Asked Questions on LCM of 2317 and 2321

1. What is the LCM of 2317 and 2321?

Answer: LCM of 2317 and 2321 is 5377757.

2. 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.

3. What are the Factors of 2321?

Answer: Factors of 2321 are 1, 11, 211, 2321. There are 4 integers that are factors of 2321. The greatest factor of 2321 is 2321.

4. How to Find the LCM of 2317 and 2321?

Answer:

Least Common Multiple of 2317 and 2321 = 5377757

Step 1: Find the prime factorization of 2317

2317 = 7 x 331

Step 2: Find the prime factorization of 2321

2321 = 11 x 211

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

LCM = 5377757 = 7 x 11 x 211 x 331

Step 4: Therefore, the least common multiple of 2317 and 2321 is 5377757.