Least Common Multiple of 6297 and 6304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6297 and 6304 the smallest integer that is 39696288 that is divisible by both numbers.

Least Common Multiple (LCM) of 6297 and 6304 is 39696288.

LCM(6297,6304) = 39696288

LCM of 6297 and 6304

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

LCM of:
and

Least Common Multiple of 6297 and 6304

LCM of 6297 and 6304 is 39696288

Least common multiple can be found by multiplying the highest exponent prime factors of 6297 and 6304. First we will calculate the prime factors of 6297 and 6304.

Prime Factorization of 6297


3 6297
2099 2099
1

Prime factors of 6297 are 3,2099. Prime factorization of 6297 in exponential form is:

6297 = 31×20991

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6297 and 6304.

LCM(6297,6304) = 25×31×1971×20991
LCM(6297,6304) = 39696288

Factors of 6297

List of positive integer factors of 6297 that divides 6297 without a remainder.

1, 3, 2099, 6297

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

Least Common Multiple of 6297 and 6304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6297 and 6304, than apply into the LCM equation.

GCF(6297,6304) = 1
LCM(6297,6304) = ( 6297 × 6304) / 1
LCM(6297,6304) = 39696288 / 1
LCM(6297,6304) = 39696288

Properties of LCM 6297 and 6304

(i) The LCM of 6304 and 6297 is associative

LCM of 6297 and 6304 = LCM of 6304 and 6297

Related Least Common Multiples of 6297

Related Least Common Multiples of 6304

Frequently Asked Questions on LCM of 6297 and 6304

1. What is the LCM of 6297 and 6304?

Answer: LCM of 6297 and 6304 is 39696288.

2. What are the Factors of 6297?

Answer: Factors of 6297 are 1, 3, 2099, 6297. There are 4 integers that are factors of 6297. The greatest factor of 6297 is 6297.

3. 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.

4. How to Find the LCM of 6297 and 6304?

Answer:

Least Common Multiple of 6297 and 6304 = 39696288

Step 1: Find the prime factorization of 6297

6297 = 3 x 2099

Step 2: Find the prime factorization of 6304

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

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

LCM = 39696288 = 2 x 2 x 2 x 2 x 2 x 3 x 197 x 2099

Step 4: Therefore, the least common multiple of 6297 and 6304 is 39696288.