Least Common Multiple of 6300 and 6306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6300 and 6306 the smallest integer that is 6621300 that is divisible by both numbers.

Least Common Multiple (LCM) of 6300 and 6306 is 6621300.

LCM(6300,6306) = 6621300

LCM of 6300 and 6306

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

LCM of:
and

Least Common Multiple of 6300 and 6306

LCM of 6300 and 6306 is 6621300

Least common multiple can be found by multiplying the highest exponent prime factors of 6300 and 6306. First we will calculate the prime factors of 6300 and 6306.

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

Prime Factorization of 6306


2 6306
3 3153
1051 1051
1

Prime factors of 6306 are 2, 3,1051. Prime factorization of 6306 in exponential form is:

6306 = 21×31×10511

Now multiplying the highest exponent prime factors to calculate the LCM of 6300 and 6306.

LCM(6300,6306) = 22×32×52×71×10511
LCM(6300,6306) = 6621300

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

Factors of 6306

List of positive integer factors of 6306 that divides 6306 without a remainder.

1, 2, 3, 6, 1051, 2102, 3153, 6306

Least Common Multiple of 6300 and 6306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6300 and 6306, than apply into the LCM equation.

GCF(6300,6306) = 6
LCM(6300,6306) = ( 6300 × 6306) / 6
LCM(6300,6306) = 39727800 / 6
LCM(6300,6306) = 6621300

Properties of LCM 6300 and 6306

(i) The LCM of 6306 and 6300 is associative

LCM of 6300 and 6306 = LCM of 6306 and 6300

Related Least Common Multiples of 6300

Related Least Common Multiples of 6306

Frequently Asked Questions on LCM of 6300 and 6306

1. What is the LCM of 6300 and 6306?

Answer: LCM of 6300 and 6306 is 6621300.

2. 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.

3. What are the Factors of 6306?

Answer: Factors of 6306 are 1, 2, 3, 6, 1051, 2102, 3153, 6306. There are 8 integers that are factors of 6306. The greatest factor of 6306 is 6306.

4. How to Find the LCM of 6300 and 6306?

Answer:

Least Common Multiple of 6300 and 6306 = 6621300

Step 1: Find the prime factorization of 6300

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

Step 2: Find the prime factorization of 6306

6306 = 2 x 3 x 1051

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

LCM = 6621300 = 2 x 2 x 3 x 3 x 5 x 5 x 7 x 1051

Step 4: Therefore, the least common multiple of 6300 and 6306 is 6621300.