Least Common Multiple of 2311 and 2315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2311 and 2315 the smallest integer that is 5349965 that is divisible by both numbers.

Least Common Multiple (LCM) of 2311 and 2315 is 5349965.

LCM(2311,2315) = 5349965

LCM of 2311 and 2315

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

LCM of:
and

Least Common Multiple of 2311 and 2315

LCM of 2311 and 2315 is 5349965

Least common multiple can be found by multiplying the highest exponent prime factors of 2311 and 2315. First we will calculate the prime factors of 2311 and 2315.

Prime Factorization of 2311


2311 2311
1

Prime factors of 2311 are 2311. Prime factorization of 2311 in exponential form is:

2311 = 23111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2311 and 2315.

LCM(2311,2315) = 51×4631×23111
LCM(2311,2315) = 5349965

Factors of 2311

List of positive integer factors of 2311 that divides 2311 without a remainder.

1, 2311

Factors of 2315

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

1, 5, 463, 2315

Least Common Multiple of 2311 and 2315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2311 and 2315, than apply into the LCM equation.

GCF(2311,2315) = 1
LCM(2311,2315) = ( 2311 × 2315) / 1
LCM(2311,2315) = 5349965 / 1
LCM(2311,2315) = 5349965

Properties of LCM 2311 and 2315

(i) The LCM of 2315 and 2311 is associative

LCM of 2311 and 2315 = LCM of 2315 and 2311

Related Least Common Multiples of 2311

Related Least Common Multiples of 2315

Frequently Asked Questions on LCM of 2311 and 2315

1. What is the LCM of 2311 and 2315?

Answer: LCM of 2311 and 2315 is 5349965.

2. What are the Factors of 2311?

Answer: Factors of 2311 are 1, 2311. There are 2 integers that are factors of 2311. The greatest factor of 2311 is 2311.

3. 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.

4. How to Find the LCM of 2311 and 2315?

Answer:

Least Common Multiple of 2311 and 2315 = 5349965

Step 1: Find the prime factorization of 2311

2311 = 2311

Step 2: Find the prime factorization of 2315

2315 = 5 x 463

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

LCM = 5349965 = 5 x 463 x 2311

Step 4: Therefore, the least common multiple of 2311 and 2315 is 5349965.