Least Common Multiple of 303 and 310

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 310 the smallest integer that is 93930 that is divisible by both numbers.

Least Common Multiple (LCM) of 303 and 310 is 93930.

LCM(303,310) = 93930

LCM of 303 and 310

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

LCM of:
and

Least Common Multiple of 303 and 310

LCM of 303 and 310 is 93930

Least common multiple can be found by multiplying the highest exponent prime factors of 303 and 310. First we will calculate the prime factors of 303 and 310.

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 310


2 310
5 155
31 31
1

Prime factors of 310 are 2, 5,31. Prime factorization of 310 in exponential form is:

310 = 21×51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 303 and 310.

LCM(303,310) = 21×31×51×311×1011
LCM(303,310) = 93930

Factors of 303

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

1, 3, 101, 303

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Least Common Multiple of 303 and 310 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 310, than apply into the LCM equation.

GCF(303,310) = 1
LCM(303,310) = ( 303 × 310) / 1
LCM(303,310) = 93930 / 1
LCM(303,310) = 93930

Properties of LCM 303 and 310

(i) The LCM of 310 and 303 is associative

LCM of 303 and 310 = LCM of 310 and 303

Frequently Asked Questions on LCM of 303 and 310

1. What is the LCM of 303 and 310?

Answer: LCM of 303 and 310 is 93930.

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 310?

Answer: Factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310. There are 8 integers that are factors of 310. The greatest factor of 310 is 310.

4. How to Find the LCM of 303 and 310?

Answer:

Least Common Multiple of 303 and 310 = 93930

Step 1: Find the prime factorization of 303

303 = 3 x 101

Step 2: Find the prime factorization of 310

310 = 2 x 5 x 31

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

LCM = 93930 = 2 x 3 x 5 x 31 x 101

Step 4: Therefore, the least common multiple of 303 and 310 is 93930.