Least Common Multiple of 305 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 305 and 311 the smallest integer that is 94855 that is divisible by both numbers.

Least Common Multiple (LCM) of 305 and 311 is 94855.

LCM(305,311) = 94855

LCM of 305 and 311

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

LCM of:
and

Least Common Multiple of 305 and 311

LCM of 305 and 311 is 94855

Least common multiple can be found by multiplying the highest exponent prime factors of 305 and 311. First we will calculate the prime factors of 305 and 311.

Prime Factorization of 305


5 305
61 61
1

Prime factors of 305 are 5,61. Prime factorization of 305 in exponential form is:

305 = 51×611

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 305 and 311.

LCM(305,311) = 51×611×3111
LCM(305,311) = 94855

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Factors of 311

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

1, 311

Least Common Multiple of 305 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 305 and 311, than apply into the LCM equation.

GCF(305,311) = 1
LCM(305,311) = ( 305 × 311) / 1
LCM(305,311) = 94855 / 1
LCM(305,311) = 94855

Properties of LCM 305 and 311

(i) The LCM of 311 and 305 is associative

LCM of 305 and 311 = LCM of 311 and 305

Related Least Common Multiples of 305

Related Least Common Multiples of 311

Frequently Asked Questions on LCM of 305 and 311

1. What is the LCM of 305 and 311?

Answer: LCM of 305 and 311 is 94855.

2. What are the Factors of 305?

Answer: Factors of 305 are 1, 5, 61, 305. There are 4 integers that are factors of 305. The greatest factor of 305 is 305.

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 305 and 311?

Answer:

Least Common Multiple of 305 and 311 = 94855

Step 1: Find the prime factorization of 305

305 = 5 x 61

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 = 94855 = 5 x 61 x 311

Step 4: Therefore, the least common multiple of 305 and 311 is 94855.