Least Common Multiple of 6786 and 6792

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 6792 the smallest integer that is 7681752 that is divisible by both numbers.

Least Common Multiple (LCM) of 6786 and 6792 is 7681752.

LCM(6786,6792) = 7681752

LCM of 6786 and 6792

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

LCM of:
and

Least Common Multiple of 6786 and 6792

LCM of 6786 and 6792 is 7681752

Least common multiple can be found by multiplying the highest exponent prime factors of 6786 and 6792. First we will calculate the prime factors of 6786 and 6792.

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 6792


2 6792
2 3396
2 1698
3 849
283 283
1

Prime factors of 6792 are 2, 3,283. Prime factorization of 6792 in exponential form is:

6792 = 23×31×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 6786 and 6792.

LCM(6786,6792) = 23×32×131×291×2831
LCM(6786,6792) = 7681752

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 6792

List of positive integer factors of 6792 that divides 6792 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 283, 566, 849, 1132, 1698, 2264, 3396, 6792

Least Common Multiple of 6786 and 6792 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 6792, than apply into the LCM equation.

GCF(6786,6792) = 6
LCM(6786,6792) = ( 6786 × 6792) / 6
LCM(6786,6792) = 46090512 / 6
LCM(6786,6792) = 7681752

Properties of LCM 6786 and 6792

(i) The LCM of 6792 and 6786 is associative

LCM of 6786 and 6792 = LCM of 6792 and 6786

Related Least Common Multiples of 6786

Related Least Common Multiples of 6792

Frequently Asked Questions on LCM of 6786 and 6792

1. What is the LCM of 6786 and 6792?

Answer: LCM of 6786 and 6792 is 7681752.

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 6792?

Answer: Factors of 6792 are 1, 2, 3, 4, 6, 8, 12, 24, 283, 566, 849, 1132, 1698, 2264, 3396, 6792. There are 16 integers that are factors of 6792. The greatest factor of 6792 is 6792.

4. How to Find the LCM of 6786 and 6792?

Answer:

Least Common Multiple of 6786 and 6792 = 7681752

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 6792

6792 = 2 x 2 x 2 x 3 x 283

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

LCM = 7681752 = 2 x 2 x 2 x 3 x 3 x 13 x 29 x 283

Step 4: Therefore, the least common multiple of 6786 and 6792 is 7681752.