Least Common Multiple of 6304 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 6304 and 6309 the smallest integer that is 39771936 that is divisible by both numbers.

Least Common Multiple (LCM) of 6304 and 6309 is 39771936.

LCM(6304,6309) = 39771936

LCM of 6304 and 6309

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

LCM of:
and

Least Common Multiple of 6304 and 6309

LCM of 6304 and 6309 is 39771936

Least common multiple can be found by multiplying the highest exponent prime factors of 6304 and 6309. First we will calculate the prime factors of 6304 and 6309.

Prime Factorization of 6304


2 6304
2 3152
2 1576
2 788
2 394
197 197
1

Prime factors of 6304 are 2,197. Prime factorization of 6304 in exponential form is:

6304 = 25×1971

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 6304 and 6309.

LCM(6304,6309) = 25×32×1971×7011
LCM(6304,6309) = 39771936

Factors of 6304

List of positive integer factors of 6304 that divides 6304 without a remainder.

1, 2, 4, 8, 16, 32, 197, 394, 788, 1576, 3152, 6304

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 6304 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 6304 and 6309, than apply into the LCM equation.

GCF(6304,6309) = 1
LCM(6304,6309) = ( 6304 × 6309) / 1
LCM(6304,6309) = 39771936 / 1
LCM(6304,6309) = 39771936

Properties of LCM 6304 and 6309

(i) The LCM of 6309 and 6304 is associative

LCM of 6304 and 6309 = LCM of 6309 and 6304

Related Least Common Multiples of 6304

Related Least Common Multiples of 6309

Frequently Asked Questions on LCM of 6304 and 6309

1. What is the LCM of 6304 and 6309?

Answer: LCM of 6304 and 6309 is 39771936.

2. What are the Factors of 6304?

Answer: Factors of 6304 are 1, 2, 4, 8, 16, 32, 197, 394, 788, 1576, 3152, 6304. There are 12 integers that are factors of 6304. The greatest factor of 6304 is 6304.

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 6304 and 6309?

Answer:

Least Common Multiple of 6304 and 6309 = 39771936

Step 1: Find the prime factorization of 6304

6304 = 2 x 2 x 2 x 2 x 2 x 197

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 = 39771936 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 197 x 701

Step 4: Therefore, the least common multiple of 6304 and 6309 is 39771936.