Least Common Multiple of 2308 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 2308 and 2315 the smallest integer that is 5343020 that is divisible by both numbers.

Least Common Multiple (LCM) of 2308 and 2315 is 5343020.

LCM(2308,2315) = 5343020

LCM of 2308 and 2315

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

LCM of:
and

Least Common Multiple of 2308 and 2315

LCM of 2308 and 2315 is 5343020

Least common multiple can be found by multiplying the highest exponent prime factors of 2308 and 2315. First we will calculate the prime factors of 2308 and 2315.

Prime Factorization of 2308


2 2308
2 1154
577 577
1

Prime factors of 2308 are 2,577. Prime factorization of 2308 in exponential form is:

2308 = 22×5771

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 2308 and 2315.

LCM(2308,2315) = 22×51×4631×5771
LCM(2308,2315) = 5343020

Factors of 2308

List of positive integer factors of 2308 that divides 2308 without a remainder.

1, 2, 4, 577, 1154, 2308

Factors of 2315

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

1, 5, 463, 2315

Least Common Multiple of 2308 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 2308 and 2315, than apply into the LCM equation.

GCF(2308,2315) = 1
LCM(2308,2315) = ( 2308 × 2315) / 1
LCM(2308,2315) = 5343020 / 1
LCM(2308,2315) = 5343020

Properties of LCM 2308 and 2315

(i) The LCM of 2315 and 2308 is associative

LCM of 2308 and 2315 = LCM of 2315 and 2308

Related Least Common Multiples of 2308

Related Least Common Multiples of 2315

Frequently Asked Questions on LCM of 2308 and 2315

1. What is the LCM of 2308 and 2315?

Answer: LCM of 2308 and 2315 is 5343020.

2. What are the Factors of 2308?

Answer: Factors of 2308 are 1, 2, 4, 577, 1154, 2308. There are 6 integers that are factors of 2308. The greatest factor of 2308 is 2308.

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 2308 and 2315?

Answer:

Least Common Multiple of 2308 and 2315 = 5343020

Step 1: Find the prime factorization of 2308

2308 = 2 x 2 x 577

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 = 5343020 = 2 x 2 x 5 x 463 x 577

Step 4: Therefore, the least common multiple of 2308 and 2315 is 5343020.