Least Common Multiple of 6296 and 6303

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 6303 the smallest integer that is 39683688 that is divisible by both numbers.

Least Common Multiple (LCM) of 6296 and 6303 is 39683688.

LCM(6296,6303) = 39683688

LCM of 6296 and 6303

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

LCM of:
and

Least Common Multiple of 6296 and 6303

LCM of 6296 and 6303 is 39683688

Least common multiple can be found by multiplying the highest exponent prime factors of 6296 and 6303. First we will calculate the prime factors of 6296 and 6303.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 6296 and 6303.

LCM(6296,6303) = 23×31×111×1911×7871
LCM(6296,6303) = 39683688

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 6303

List of positive integer factors of 6303 that divides 6303 without a remainder.

1, 3, 11, 33, 191, 573, 2101, 6303

Least Common Multiple of 6296 and 6303 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 6303, than apply into the LCM equation.

GCF(6296,6303) = 1
LCM(6296,6303) = ( 6296 × 6303) / 1
LCM(6296,6303) = 39683688 / 1
LCM(6296,6303) = 39683688

Properties of LCM 6296 and 6303

(i) The LCM of 6303 and 6296 is associative

LCM of 6296 and 6303 = LCM of 6303 and 6296

Related Least Common Multiples of 6296

Related Least Common Multiples of 6303

Frequently Asked Questions on LCM of 6296 and 6303

1. What is the LCM of 6296 and 6303?

Answer: LCM of 6296 and 6303 is 39683688.

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 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.

4. How to Find the LCM of 6296 and 6303?

Answer:

Least Common Multiple of 6296 and 6303 = 39683688

Step 1: Find the prime factorization of 6296

6296 = 2 x 2 x 2 x 787

Step 2: Find the prime factorization of 6303

6303 = 3 x 11 x 191

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

LCM = 39683688 = 2 x 2 x 2 x 3 x 11 x 191 x 787

Step 4: Therefore, the least common multiple of 6296 and 6303 is 39683688.