Least Common Multiple of 2315 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 2315 and 2321 the smallest integer that is 5373115 that is divisible by both numbers.

Least Common Multiple (LCM) of 2315 and 2321 is 5373115.

LCM(2315,2321) = 5373115

LCM of 2315 and 2321

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

LCM of:
and

Least Common Multiple of 2315 and 2321

LCM of 2315 and 2321 is 5373115

Least common multiple can be found by multiplying the highest exponent prime factors of 2315 and 2321. First we will calculate the prime factors of 2315 and 2321.

Prime Factorization of 2315


5 2315
463 463
1

Prime factors of 2315 are 5,463. Prime factorization of 2315 in exponential form is:

2315 = 51×4631

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 2315 and 2321.

LCM(2315,2321) = 51×111×2111×4631
LCM(2315,2321) = 5373115

Factors of 2315

List of positive integer factors of 2315 that divides 2315 without a remainder.

1, 5, 463, 2315

Factors of 2321

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

1, 11, 211, 2321

Least Common Multiple of 2315 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 2315 and 2321, than apply into the LCM equation.

GCF(2315,2321) = 1
LCM(2315,2321) = ( 2315 × 2321) / 1
LCM(2315,2321) = 5373115 / 1
LCM(2315,2321) = 5373115

Properties of LCM 2315 and 2321

(i) The LCM of 2321 and 2315 is associative

LCM of 2315 and 2321 = LCM of 2321 and 2315

Related Least Common Multiples of 2315

Related Least Common Multiples of 2321

Frequently Asked Questions on LCM of 2315 and 2321

1. What is the LCM of 2315 and 2321?

Answer: LCM of 2315 and 2321 is 5373115.

2. What are the Factors of 2315?

Answer: Factors of 2315 are 1, 5, 463, 2315. There are 4 integers that are factors of 2315. The greatest factor of 2315 is 2315.

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 2315 and 2321?

Answer:

Least Common Multiple of 2315 and 2321 = 5373115

Step 1: Find the prime factorization of 2315

2315 = 5 x 463

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 = 5373115 = 5 x 11 x 211 x 463

Step 4: Therefore, the least common multiple of 2315 and 2321 is 5373115.