Least Common Multiple of 6303 and 6309

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 6309 the smallest integer that is 13255209 that is divisible by both numbers.

Least Common Multiple (LCM) of 6303 and 6309 is 13255209.

LCM(6303,6309) = 13255209

LCM of 6303 and 6309

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

LCM of:
and

Least Common Multiple of 6303 and 6309

LCM of 6303 and 6309 is 13255209

Least common multiple can be found by multiplying the highest exponent prime factors of 6303 and 6309. First we will calculate the prime factors of 6303 and 6309.

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 6309


3 6309
3 2103
701 701
1

Prime factors of 6309 are 3,701. Prime factorization of 6309 in exponential form is:

6309 = 32×7011

Now multiplying the highest exponent prime factors to calculate the LCM of 6303 and 6309.

LCM(6303,6309) = 32×111×1911×7011
LCM(6303,6309) = 13255209

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 6309

List of positive integer factors of 6309 that divides 6309 without a remainder.

1, 3, 9, 701, 2103, 6309

Least Common Multiple of 6303 and 6309 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 6309, than apply into the LCM equation.

GCF(6303,6309) = 3
LCM(6303,6309) = ( 6303 × 6309) / 3
LCM(6303,6309) = 39765627 / 3
LCM(6303,6309) = 13255209

Properties of LCM 6303 and 6309

(i) The LCM of 6309 and 6303 is associative

LCM of 6303 and 6309 = LCM of 6309 and 6303

Related Least Common Multiples of 6303

Related Least Common Multiples of 6309

Frequently Asked Questions on LCM of 6303 and 6309

1. What is the LCM of 6303 and 6309?

Answer: LCM of 6303 and 6309 is 13255209.

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 6309?

Answer: Factors of 6309 are 1, 3, 9, 701, 2103, 6309. There are 6 integers that are factors of 6309. The greatest factor of 6309 is 6309.

4. How to Find the LCM of 6303 and 6309?

Answer:

Least Common Multiple of 6303 and 6309 = 13255209

Step 1: Find the prime factorization of 6303

6303 = 3 x 11 x 191

Step 2: Find the prime factorization of 6309

6309 = 3 x 3 x 701

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

LCM = 13255209 = 3 x 3 x 11 x 191 x 701

Step 4: Therefore, the least common multiple of 6303 and 6309 is 13255209.