Least Common Multiple of 304 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 304 and 311 the smallest integer that is 94544 that is divisible by both numbers.

Least Common Multiple (LCM) of 304 and 311 is 94544.

LCM(304,311) = 94544

LCM of 304 and 311

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

LCM of:
and

Least Common Multiple of 304 and 311

LCM of 304 and 311 is 94544

Least common multiple can be found by multiplying the highest exponent prime factors of 304 and 311. First we will calculate the prime factors of 304 and 311.

Prime Factorization of 304


2 304
2 152
2 76
2 38
19 19
1

Prime factors of 304 are 2,19. Prime factorization of 304 in exponential form is:

304 = 24×191

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 304 and 311.

LCM(304,311) = 24×191×3111
LCM(304,311) = 94544

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Factors of 311

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

1, 311

Least Common Multiple of 304 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 304 and 311, than apply into the LCM equation.

GCF(304,311) = 1
LCM(304,311) = ( 304 × 311) / 1
LCM(304,311) = 94544 / 1
LCM(304,311) = 94544

Properties of LCM 304 and 311

(i) The LCM of 311 and 304 is associative

LCM of 304 and 311 = LCM of 311 and 304

Related Least Common Multiples of 304

Related Least Common Multiples of 311

Frequently Asked Questions on LCM of 304 and 311

1. What is the LCM of 304 and 311?

Answer: LCM of 304 and 311 is 94544.

2. What are the Factors of 304?

Answer: Factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304. There are 10 integers that are factors of 304. The greatest factor of 304 is 304.

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 304 and 311?

Answer:

Least Common Multiple of 304 and 311 = 94544

Step 1: Find the prime factorization of 304

304 = 2 x 2 x 2 x 2 x 19

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 = 94544 = 2 x 2 x 2 x 2 x 19 x 311

Step 4: Therefore, the least common multiple of 304 and 311 is 94544.