Least Common Multiple of 308 and 313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 308 and 313 the smallest integer that is 96404 that is divisible by both numbers.

Least Common Multiple (LCM) of 308 and 313 is 96404.

LCM(308,313) = 96404

LCM of 308 and 313

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

LCM of:
and

Least Common Multiple of 308 and 313

LCM of 308 and 313 is 96404

Least common multiple can be found by multiplying the highest exponent prime factors of 308 and 313. First we will calculate the prime factors of 308 and 313.

Prime Factorization of 308


2 308
2 154
7 77
11 11
1

Prime factors of 308 are 2, 7,11. Prime factorization of 308 in exponential form is:

308 = 22×71×111

Prime Factorization of 313


313 313
1

Prime factors of 313 are 313. Prime factorization of 313 in exponential form is:

313 = 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 308 and 313.

LCM(308,313) = 22×71×111×3131
LCM(308,313) = 96404

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1, 313

Least Common Multiple of 308 and 313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308 and 313, than apply into the LCM equation.

GCF(308,313) = 1
LCM(308,313) = ( 308 × 313) / 1
LCM(308,313) = 96404 / 1
LCM(308,313) = 96404

Properties of LCM 308 and 313

(i) The LCM of 313 and 308 is associative

LCM of 308 and 313 = LCM of 313 and 308

Related Least Common Multiples of 308

Related Least Common Multiples of 313

Frequently Asked Questions on LCM of 308 and 313

1. What is the LCM of 308 and 313?

Answer: LCM of 308 and 313 is 96404.

2. What are the Factors of 308?

Answer: Factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308. There are 12 integers that are factors of 308. The greatest factor of 308 is 308.

3. What are the Factors of 313?

Answer: Factors of 313 are 1, 313. There are 2 integers that are factors of 313. The greatest factor of 313 is 313.

4. How to Find the LCM of 308 and 313?

Answer:

Least Common Multiple of 308 and 313 = 96404

Step 1: Find the prime factorization of 308

308 = 2 x 2 x 7 x 11

Step 2: Find the prime factorization of 313

313 = 313

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

LCM = 96404 = 2 x 2 x 7 x 11 x 313

Step 4: Therefore, the least common multiple of 308 and 313 is 96404.