Least Common Multiple of 6780 and 6786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6780 and 6786 the smallest integer that is 7668180 that is divisible by both numbers.

Least Common Multiple (LCM) of 6780 and 6786 is 7668180.

LCM(6780,6786) = 7668180

LCM of 6780 and 6786

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

LCM of:
and

Least Common Multiple of 6780 and 6786

LCM of 6780 and 6786 is 7668180

Least common multiple can be found by multiplying the highest exponent prime factors of 6780 and 6786. First we will calculate the prime factors of 6780 and 6786.

Prime Factorization of 6780


2 6780
2 3390
3 1695
5 565
113 113
1

Prime factors of 6780 are 2, 3, 5,113. Prime factorization of 6780 in exponential form is:

6780 = 22×31×51×1131

Prime Factorization of 6786


2 6786
3 3393
3 1131
13 377
29 29
1

Prime factors of 6786 are 2, 3, 13,29. Prime factorization of 6786 in exponential form is:

6786 = 21×32×131×291

Now multiplying the highest exponent prime factors to calculate the LCM of 6780 and 6786.

LCM(6780,6786) = 22×32×51×131×291×1131
LCM(6780,6786) = 7668180

Factors of 6780

List of positive integer factors of 6780 that divides 6780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 113, 226, 339, 452, 565, 678, 1130, 1356, 1695, 2260, 3390, 6780

Factors of 6786

List of positive integer factors of 6786 that divides 6786 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 29, 39, 58, 78, 87, 117, 174, 234, 261, 377, 522, 754, 1131, 2262, 3393, 6786

Least Common Multiple of 6780 and 6786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6780 and 6786, than apply into the LCM equation.

GCF(6780,6786) = 6
LCM(6780,6786) = ( 6780 × 6786) / 6
LCM(6780,6786) = 46009080 / 6
LCM(6780,6786) = 7668180

Properties of LCM 6780 and 6786

(i) The LCM of 6786 and 6780 is associative

LCM of 6780 and 6786 = LCM of 6786 and 6780

Related Least Common Multiples of 6780

Related Least Common Multiples of 6786

Frequently Asked Questions on LCM of 6780 and 6786

1. What is the LCM of 6780 and 6786?

Answer: LCM of 6780 and 6786 is 7668180.

2. What are the Factors of 6780?

Answer: Factors of 6780 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 113, 226, 339, 452, 565, 678, 1130, 1356, 1695, 2260, 3390, 6780. There are 24 integers that are factors of 6780. The greatest factor of 6780 is 6780.

3. What are the Factors of 6786?

Answer: Factors of 6786 are 1, 2, 3, 6, 9, 13, 18, 26, 29, 39, 58, 78, 87, 117, 174, 234, 261, 377, 522, 754, 1131, 2262, 3393, 6786. There are 24 integers that are factors of 6786. The greatest factor of 6786 is 6786.

4. How to Find the LCM of 6780 and 6786?

Answer:

Least Common Multiple of 6780 and 6786 = 7668180

Step 1: Find the prime factorization of 6780

6780 = 2 x 2 x 3 x 5 x 113

Step 2: Find the prime factorization of 6786

6786 = 2 x 3 x 3 x 13 x 29

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

LCM = 7668180 = 2 x 2 x 3 x 3 x 5 x 13 x 29 x 113

Step 4: Therefore, the least common multiple of 6780 and 6786 is 7668180.