Least Common Multiple of 2308 and 2316

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 2316 the smallest integer that is 1336332 that is divisible by both numbers.

Least Common Multiple (LCM) of 2308 and 2316 is 1336332.

LCM(2308,2316) = 1336332

LCM of 2308 and 2316

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

LCM of:
and

Least Common Multiple of 2308 and 2316

LCM of 2308 and 2316 is 1336332

Least common multiple can be found by multiplying the highest exponent prime factors of 2308 and 2316. First we will calculate the prime factors of 2308 and 2316.

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 2316


2 2316
2 1158
3 579
193 193
1

Prime factors of 2316 are 2, 3,193. Prime factorization of 2316 in exponential form is:

2316 = 22×31×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 2308 and 2316.

LCM(2308,2316) = 22×31×1931×5771
LCM(2308,2316) = 1336332

Factors of 2308

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

1, 2, 4, 577, 1154, 2308

Factors of 2316

List of positive integer factors of 2316 that divides 2316 without a remainder.

1, 2, 3, 4, 6, 12, 193, 386, 579, 772, 1158, 2316

Least Common Multiple of 2308 and 2316 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 2316, than apply into the LCM equation.

GCF(2308,2316) = 4
LCM(2308,2316) = ( 2308 × 2316) / 4
LCM(2308,2316) = 5345328 / 4
LCM(2308,2316) = 1336332

Properties of LCM 2308 and 2316

(i) The LCM of 2316 and 2308 is associative

LCM of 2308 and 2316 = LCM of 2316 and 2308

Related Least Common Multiples of 2308

Related Least Common Multiples of 2316

Frequently Asked Questions on LCM of 2308 and 2316

1. What is the LCM of 2308 and 2316?

Answer: LCM of 2308 and 2316 is 1336332.

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 2316?

Answer: Factors of 2316 are 1, 2, 3, 4, 6, 12, 193, 386, 579, 772, 1158, 2316. There are 12 integers that are factors of 2316. The greatest factor of 2316 is 2316.

4. How to Find the LCM of 2308 and 2316?

Answer:

Least Common Multiple of 2308 and 2316 = 1336332

Step 1: Find the prime factorization of 2308

2308 = 2 x 2 x 577

Step 2: Find the prime factorization of 2316

2316 = 2 x 2 x 3 x 193

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

LCM = 1336332 = 2 x 2 x 3 x 193 x 577

Step 4: Therefore, the least common multiple of 2308 and 2316 is 1336332.