Least Common Multiple of 303 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 303 and 311 the smallest integer that is 94233 that is divisible by both numbers.

Least Common Multiple (LCM) of 303 and 311 is 94233.

LCM(303,311) = 94233

LCM of 303 and 311

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

LCM of:
and

Least Common Multiple of 303 and 311

LCM of 303 and 311 is 94233

Least common multiple can be found by multiplying the highest exponent prime factors of 303 and 311. First we will calculate the prime factors of 303 and 311.

Prime Factorization of 303


3 303
101 101
1

Prime factors of 303 are 3,101. Prime factorization of 303 in exponential form is:

303 = 31×1011

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 303 and 311.

LCM(303,311) = 31×1011×3111
LCM(303,311) = 94233

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Factors of 311

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

1, 311

Least Common Multiple of 303 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 303 and 311, than apply into the LCM equation.

GCF(303,311) = 1
LCM(303,311) = ( 303 × 311) / 1
LCM(303,311) = 94233 / 1
LCM(303,311) = 94233

Properties of LCM 303 and 311

(i) The LCM of 311 and 303 is associative

LCM of 303 and 311 = LCM of 311 and 303

Related Least Common Multiples of 303

Related Least Common Multiples of 311

Frequently Asked Questions on LCM of 303 and 311

1. What is the LCM of 303 and 311?

Answer: LCM of 303 and 311 is 94233.

2. What are the Factors of 303?

Answer: Factors of 303 are 1, 3, 101, 303. There are 4 integers that are factors of 303. The greatest factor of 303 is 303.

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 303 and 311?

Answer:

Least Common Multiple of 303 and 311 = 94233

Step 1: Find the prime factorization of 303

303 = 3 x 101

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 = 94233 = 3 x 101 x 311

Step 4: Therefore, the least common multiple of 303 and 311 is 94233.