Least Common Multiple of 6303 and 6307

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 6307 the smallest integer that is 39753021 that is divisible by both numbers.

Least Common Multiple (LCM) of 6303 and 6307 is 39753021.

LCM(6303,6307) = 39753021

LCM of 6303 and 6307

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

LCM of:
and

Least Common Multiple of 6303 and 6307

LCM of 6303 and 6307 is 39753021

Least common multiple can be found by multiplying the highest exponent prime factors of 6303 and 6307. First we will calculate the prime factors of 6303 and 6307.

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 6307


7 6307
17 901
53 53
1

Prime factors of 6307 are 7, 17,53. Prime factorization of 6307 in exponential form is:

6307 = 71×171×531

Now multiplying the highest exponent prime factors to calculate the LCM of 6303 and 6307.

LCM(6303,6307) = 31×71×111×171×531×1911
LCM(6303,6307) = 39753021

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 6307

List of positive integer factors of 6307 that divides 6307 without a remainder.

1, 7, 17, 53, 119, 371, 901, 6307

Least Common Multiple of 6303 and 6307 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 6307, than apply into the LCM equation.

GCF(6303,6307) = 1
LCM(6303,6307) = ( 6303 × 6307) / 1
LCM(6303,6307) = 39753021 / 1
LCM(6303,6307) = 39753021

Properties of LCM 6303 and 6307

(i) The LCM of 6307 and 6303 is associative

LCM of 6303 and 6307 = LCM of 6307 and 6303

Related Least Common Multiples of 6303

Related Least Common Multiples of 6307

Frequently Asked Questions on LCM of 6303 and 6307

1. What is the LCM of 6303 and 6307?

Answer: LCM of 6303 and 6307 is 39753021.

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 6307?

Answer: Factors of 6307 are 1, 7, 17, 53, 119, 371, 901, 6307. There are 8 integers that are factors of 6307. The greatest factor of 6307 is 6307.

4. How to Find the LCM of 6303 and 6307?

Answer:

Least Common Multiple of 6303 and 6307 = 39753021

Step 1: Find the prime factorization of 6303

6303 = 3 x 11 x 191

Step 2: Find the prime factorization of 6307

6307 = 7 x 17 x 53

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

LCM = 39753021 = 3 x 7 x 11 x 17 x 53 x 191

Step 4: Therefore, the least common multiple of 6303 and 6307 is 39753021.