Least Common Multiple of 6304 and 6310

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 6310 the smallest integer that is 19889120 that is divisible by both numbers.

Least Common Multiple (LCM) of 6304 and 6310 is 19889120.

LCM(6304,6310) = 19889120

LCM of 6304 and 6310

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

LCM of:
and

Least Common Multiple of 6304 and 6310

LCM of 6304 and 6310 is 19889120

Least common multiple can be found by multiplying the highest exponent prime factors of 6304 and 6310. First we will calculate the prime factors of 6304 and 6310.

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 6310


2 6310
5 3155
631 631
1

Prime factors of 6310 are 2, 5,631. Prime factorization of 6310 in exponential form is:

6310 = 21×51×6311

Now multiplying the highest exponent prime factors to calculate the LCM of 6304 and 6310.

LCM(6304,6310) = 25×51×1971×6311
LCM(6304,6310) = 19889120

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 6310

List of positive integer factors of 6310 that divides 6310 without a remainder.

1, 2, 5, 10, 631, 1262, 3155, 6310

Least Common Multiple of 6304 and 6310 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 6310, than apply into the LCM equation.

GCF(6304,6310) = 2
LCM(6304,6310) = ( 6304 × 6310) / 2
LCM(6304,6310) = 39778240 / 2
LCM(6304,6310) = 19889120

Properties of LCM 6304 and 6310

(i) The LCM of 6310 and 6304 is associative

LCM of 6304 and 6310 = LCM of 6310 and 6304

Related Least Common Multiples of 6304

Related Least Common Multiples of 6310

Frequently Asked Questions on LCM of 6304 and 6310

1. What is the LCM of 6304 and 6310?

Answer: LCM of 6304 and 6310 is 19889120.

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 6310?

Answer: Factors of 6310 are 1, 2, 5, 10, 631, 1262, 3155, 6310. There are 8 integers that are factors of 6310. The greatest factor of 6310 is 6310.

4. How to Find the LCM of 6304 and 6310?

Answer:

Least Common Multiple of 6304 and 6310 = 19889120

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 6310

6310 = 2 x 5 x 631

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

LCM = 19889120 = 2 x 2 x 2 x 2 x 2 x 5 x 197 x 631

Step 4: Therefore, the least common multiple of 6304 and 6310 is 19889120.