Least Common Multiple of 6296 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 6296 and 6304 the smallest integer that is 4961248 that is divisible by both numbers.

Least Common Multiple (LCM) of 6296 and 6304 is 4961248.

LCM(6296,6304) = 4961248

LCM of 6296 and 6304

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

LCM of:
and

Least Common Multiple of 6296 and 6304

LCM of 6296 and 6304 is 4961248

Least common multiple can be found by multiplying the highest exponent prime factors of 6296 and 6304. First we will calculate the prime factors of 6296 and 6304.

Prime Factorization of 6296


2 6296
2 3148
2 1574
787 787
1

Prime factors of 6296 are 2,787. Prime factorization of 6296 in exponential form is:

6296 = 23×7871

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 6296 and 6304.

LCM(6296,6304) = 25×1971×7871
LCM(6296,6304) = 4961248

Factors of 6296

List of positive integer factors of 6296 that divides 6296 without a remainder.

1, 2, 4, 8, 787, 1574, 3148, 6296

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 6296 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 6296 and 6304, than apply into the LCM equation.

GCF(6296,6304) = 8
LCM(6296,6304) = ( 6296 × 6304) / 8
LCM(6296,6304) = 39689984 / 8
LCM(6296,6304) = 4961248

Properties of LCM 6296 and 6304

(i) The LCM of 6304 and 6296 is associative

LCM of 6296 and 6304 = LCM of 6304 and 6296

Related Least Common Multiples of 6296

Related Least Common Multiples of 6304

Frequently Asked Questions on LCM of 6296 and 6304

1. What is the LCM of 6296 and 6304?

Answer: LCM of 6296 and 6304 is 4961248.

2. What are the Factors of 6296?

Answer: Factors of 6296 are 1, 2, 4, 8, 787, 1574, 3148, 6296. There are 8 integers that are factors of 6296. The greatest factor of 6296 is 6296.

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 6296 and 6304?

Answer:

Least Common Multiple of 6296 and 6304 = 4961248

Step 1: Find the prime factorization of 6296

6296 = 2 x 2 x 2 x 787

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 = 4961248 = 2 x 2 x 2 x 2 x 2 x 197 x 787

Step 4: Therefore, the least common multiple of 6296 and 6304 is 4961248.