Least Common Multiple of 308 and 311

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 311 the smallest integer that is 95788 that is divisible by both numbers.

Least Common Multiple (LCM) of 308 and 311 is 95788.

LCM(308,311) = 95788

LCM of 308 and 311

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

LCM of:
and

Least Common Multiple of 308 and 311

LCM of 308 and 311 is 95788

Least common multiple can be found by multiplying the highest exponent prime factors of 308 and 311. First we will calculate the prime factors of 308 and 311.

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 311


311 311
1

Prime factors of 311 are 311. Prime factorization of 311 in exponential form is:

311 = 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 308 and 311.

LCM(308,311) = 22×71×111×3111
LCM(308,311) = 95788

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 311

List of positive integer factors of 311 that divides 311 without a remainder.

1, 311

Least Common Multiple of 308 and 311 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 311, than apply into the LCM equation.

GCF(308,311) = 1
LCM(308,311) = ( 308 × 311) / 1
LCM(308,311) = 95788 / 1
LCM(308,311) = 95788

Properties of LCM 308 and 311

(i) The LCM of 311 and 308 is associative

LCM of 308 and 311 = LCM of 311 and 308

Related Least Common Multiples of 308

Related Least Common Multiples of 311

Frequently Asked Questions on LCM of 308 and 311

1. What is the LCM of 308 and 311?

Answer: LCM of 308 and 311 is 95788.

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 311?

Answer: Factors of 311 are 1, 311. There are 2 integers that are factors of 311. The greatest factor of 311 is 311.

4. How to Find the LCM of 308 and 311?

Answer:

Least Common Multiple of 308 and 311 = 95788

Step 1: Find the prime factorization of 308

308 = 2 x 2 x 7 x 11

Step 2: Find the prime factorization of 311

311 = 311

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

LCM = 95788 = 2 x 2 x 7 x 11 x 311

Step 4: Therefore, the least common multiple of 308 and 311 is 95788.