Least Common Multiple of 6296 and 6300

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 6300 the smallest integer that is 9916200 that is divisible by both numbers.

Least Common Multiple (LCM) of 6296 and 6300 is 9916200.

LCM(6296,6300) = 9916200

LCM of 6296 and 6300

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

LCM of:
and

Least Common Multiple of 6296 and 6300

LCM of 6296 and 6300 is 9916200

Least common multiple can be found by multiplying the highest exponent prime factors of 6296 and 6300. First we will calculate the prime factors of 6296 and 6300.

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 6300


2 6300
2 3150
3 1575
3 525
5 175
5 35
7 7
1

Prime factors of 6300 are 2, 3, 5,7. Prime factorization of 6300 in exponential form is:

6300 = 22×32×52×71

Now multiplying the highest exponent prime factors to calculate the LCM of 6296 and 6300.

LCM(6296,6300) = 23×32×52×71×7871
LCM(6296,6300) = 9916200

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 6300

List of positive integer factors of 6300 that divides 6300 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 25, 28, 30, 35, 36, 42, 45, 50, 60, 63, 70, 75, 84, 90, 100, 105, 126, 140, 150, 175, 180, 210, 225, 252, 300, 315, 350, 420, 450, 525, 630, 700, 900, 1050, 1260, 1575, 2100, 3150, 6300

Least Common Multiple of 6296 and 6300 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 6300, than apply into the LCM equation.

GCF(6296,6300) = 4
LCM(6296,6300) = ( 6296 × 6300) / 4
LCM(6296,6300) = 39664800 / 4
LCM(6296,6300) = 9916200

Properties of LCM 6296 and 6300

(i) The LCM of 6300 and 6296 is associative

LCM of 6296 and 6300 = LCM of 6300 and 6296

Related Least Common Multiples of 6296

Related Least Common Multiples of 6300

Frequently Asked Questions on LCM of 6296 and 6300

1. What is the LCM of 6296 and 6300?

Answer: LCM of 6296 and 6300 is 9916200.

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 6300?

Answer: Factors of 6300 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 25, 28, 30, 35, 36, 42, 45, 50, 60, 63, 70, 75, 84, 90, 100, 105, 126, 140, 150, 175, 180, 210, 225, 252, 300, 315, 350, 420, 450, 525, 630, 700, 900, 1050, 1260, 1575, 2100, 3150, 6300. There are 54 integers that are factors of 6300. The greatest factor of 6300 is 6300.

4. How to Find the LCM of 6296 and 6300?

Answer:

Least Common Multiple of 6296 and 6300 = 9916200

Step 1: Find the prime factorization of 6296

6296 = 2 x 2 x 2 x 787

Step 2: Find the prime factorization of 6300

6300 = 2 x 2 x 3 x 3 x 5 x 5 x 7

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

LCM = 9916200 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 787

Step 4: Therefore, the least common multiple of 6296 and 6300 is 9916200.