Least Common Multiple of 6294 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 6294 and 6300 the smallest integer that is 6608700 that is divisible by both numbers.

Least Common Multiple (LCM) of 6294 and 6300 is 6608700.

LCM(6294,6300) = 6608700

LCM of 6294 and 6300

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

LCM of:
and

Least Common Multiple of 6294 and 6300

LCM of 6294 and 6300 is 6608700

Least common multiple can be found by multiplying the highest exponent prime factors of 6294 and 6300. First we will calculate the prime factors of 6294 and 6300.

Prime Factorization of 6294


2 6294
3 3147
1049 1049
1

Prime factors of 6294 are 2, 3,1049. Prime factorization of 6294 in exponential form is:

6294 = 21×31×10491

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 6294 and 6300.

LCM(6294,6300) = 22×32×52×71×10491
LCM(6294,6300) = 6608700

Factors of 6294

List of positive integer factors of 6294 that divides 6294 without a remainder.

1, 2, 3, 6, 1049, 2098, 3147, 6294

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 6294 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 6294 and 6300, than apply into the LCM equation.

GCF(6294,6300) = 6
LCM(6294,6300) = ( 6294 × 6300) / 6
LCM(6294,6300) = 39652200 / 6
LCM(6294,6300) = 6608700

Properties of LCM 6294 and 6300

(i) The LCM of 6300 and 6294 is associative

LCM of 6294 and 6300 = LCM of 6300 and 6294

Related Least Common Multiples of 6294

Related Least Common Multiples of 6300

Frequently Asked Questions on LCM of 6294 and 6300

1. What is the LCM of 6294 and 6300?

Answer: LCM of 6294 and 6300 is 6608700.

2. What are the Factors of 6294?

Answer: Factors of 6294 are 1, 2, 3, 6, 1049, 2098, 3147, 6294. There are 8 integers that are factors of 6294. The greatest factor of 6294 is 6294.

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 6294 and 6300?

Answer:

Least Common Multiple of 6294 and 6300 = 6608700

Step 1: Find the prime factorization of 6294

6294 = 2 x 3 x 1049

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 = 6608700 = 2 x 2 x 3 x 3 x 5 x 5 x 7 x 1049

Step 4: Therefore, the least common multiple of 6294 and 6300 is 6608700.