Least Common Multiple of 6303 and 6311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6303 and 6311 the smallest integer that is 39778233 that is divisible by both numbers.

Least Common Multiple (LCM) of 6303 and 6311 is 39778233.

LCM(6303,6311) = 39778233

LCM of 6303 and 6311

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

LCM of:
and

Least Common Multiple of 6303 and 6311

LCM of 6303 and 6311 is 39778233

Least common multiple can be found by multiplying the highest exponent prime factors of 6303 and 6311. First we will calculate the prime factors of 6303 and 6311.

Prime Factorization of 6303


3 6303
11 2101
191 191
1

Prime factors of 6303 are 3, 11,191. Prime factorization of 6303 in exponential form is:

6303 = 31×111×1911

Prime Factorization of 6311


6311 6311
1

Prime factors of 6311 are 6311. Prime factorization of 6311 in exponential form is:

6311 = 63111

Now multiplying the highest exponent prime factors to calculate the LCM of 6303 and 6311.

LCM(6303,6311) = 31×111×1911×63111
LCM(6303,6311) = 39778233

Factors of 6303

List of positive integer factors of 6303 that divides 6303 without a remainder.

1, 3, 11, 33, 191, 573, 2101, 6303

Factors of 6311

List of positive integer factors of 6311 that divides 6311 without a remainder.

1, 6311

Least Common Multiple of 6303 and 6311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6303 and 6311, than apply into the LCM equation.

GCF(6303,6311) = 1
LCM(6303,6311) = ( 6303 × 6311) / 1
LCM(6303,6311) = 39778233 / 1
LCM(6303,6311) = 39778233

Properties of LCM 6303 and 6311

(i) The LCM of 6311 and 6303 is associative

LCM of 6303 and 6311 = LCM of 6311 and 6303

Related Least Common Multiples of 6303

Related Least Common Multiples of 6311

Frequently Asked Questions on LCM of 6303 and 6311

1. What is the LCM of 6303 and 6311?

Answer: LCM of 6303 and 6311 is 39778233.

2. What are the Factors of 6303?

Answer: Factors of 6303 are 1, 3, 11, 33, 191, 573, 2101, 6303. There are 8 integers that are factors of 6303. The greatest factor of 6303 is 6303.

3. What are the Factors of 6311?

Answer: Factors of 6311 are 1, 6311. There are 2 integers that are factors of 6311. The greatest factor of 6311 is 6311.

4. How to Find the LCM of 6303 and 6311?

Answer:

Least Common Multiple of 6303 and 6311 = 39778233

Step 1: Find the prime factorization of 6303

6303 = 3 x 11 x 191

Step 2: Find the prime factorization of 6311

6311 = 6311

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

LCM = 39778233 = 3 x 11 x 191 x 6311

Step 4: Therefore, the least common multiple of 6303 and 6311 is 39778233.