Least Common Multiple of 6786 and 6790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6786 and 6790 the smallest integer that is 23038470 that is divisible by both numbers.

Least Common Multiple (LCM) of 6786 and 6790 is 23038470.

LCM(6786,6790) = 23038470

LCM of 6786 and 6790

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

LCM of:
and

Least Common Multiple of 6786 and 6790

LCM of 6786 and 6790 is 23038470

Least common multiple can be found by multiplying the highest exponent prime factors of 6786 and 6790. First we will calculate the prime factors of 6786 and 6790.

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

Prime Factorization of 6790


2 6790
5 3395
7 679
97 97
1

Prime factors of 6790 are 2, 5, 7,97. Prime factorization of 6790 in exponential form is:

6790 = 21×51×71×971

Now multiplying the highest exponent prime factors to calculate the LCM of 6786 and 6790.

LCM(6786,6790) = 21×32×51×71×131×291×971
LCM(6786,6790) = 23038470

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

Factors of 6790

List of positive integer factors of 6790 that divides 6790 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 97, 194, 485, 679, 970, 1358, 3395, 6790

Least Common Multiple of 6786 and 6790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6786 and 6790, than apply into the LCM equation.

GCF(6786,6790) = 2
LCM(6786,6790) = ( 6786 × 6790) / 2
LCM(6786,6790) = 46076940 / 2
LCM(6786,6790) = 23038470

Properties of LCM 6786 and 6790

(i) The LCM of 6790 and 6786 is associative

LCM of 6786 and 6790 = LCM of 6790 and 6786

Related Least Common Multiples of 6786

Related Least Common Multiples of 6790

Frequently Asked Questions on LCM of 6786 and 6790

1. What is the LCM of 6786 and 6790?

Answer: LCM of 6786 and 6790 is 23038470.

2. 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.

3. What are the Factors of 6790?

Answer: Factors of 6790 are 1, 2, 5, 7, 10, 14, 35, 70, 97, 194, 485, 679, 970, 1358, 3395, 6790. There are 16 integers that are factors of 6790. The greatest factor of 6790 is 6790.

4. How to Find the LCM of 6786 and 6790?

Answer:

Least Common Multiple of 6786 and 6790 = 23038470

Step 1: Find the prime factorization of 6786

6786 = 2 x 3 x 3 x 13 x 29

Step 2: Find the prime factorization of 6790

6790 = 2 x 5 x 7 x 97

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

LCM = 23038470 = 2 x 3 x 3 x 5 x 7 x 13 x 29 x 97

Step 4: Therefore, the least common multiple of 6786 and 6790 is 23038470.