Least Common Multiple of 6792 and 6798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6792 and 6798 the smallest integer that is 7695336 that is divisible by both numbers.

Least Common Multiple (LCM) of 6792 and 6798 is 7695336.

LCM(6792,6798) = 7695336

LCM of 6792 and 6798

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

LCM of:
and

Least Common Multiple of 6792 and 6798

LCM of 6792 and 6798 is 7695336

Least common multiple can be found by multiplying the highest exponent prime factors of 6792 and 6798. First we will calculate the prime factors of 6792 and 6798.

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

Prime Factorization of 6798


2 6798
3 3399
11 1133
103 103
1

Prime factors of 6798 are 2, 3, 11,103. Prime factorization of 6798 in exponential form is:

6798 = 21×31×111×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 6792 and 6798.

LCM(6792,6798) = 23×31×111×1031×2831
LCM(6792,6798) = 7695336

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

Factors of 6798

List of positive integer factors of 6798 that divides 6798 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 103, 206, 309, 618, 1133, 2266, 3399, 6798

Least Common Multiple of 6792 and 6798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6792 and 6798, than apply into the LCM equation.

GCF(6792,6798) = 6
LCM(6792,6798) = ( 6792 × 6798) / 6
LCM(6792,6798) = 46172016 / 6
LCM(6792,6798) = 7695336

Properties of LCM 6792 and 6798

(i) The LCM of 6798 and 6792 is associative

LCM of 6792 and 6798 = LCM of 6798 and 6792

Related Least Common Multiples of 6792

Related Least Common Multiples of 6798

Frequently Asked Questions on LCM of 6792 and 6798

1. What is the LCM of 6792 and 6798?

Answer: LCM of 6792 and 6798 is 7695336.

2. 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.

3. What are the Factors of 6798?

Answer: Factors of 6798 are 1, 2, 3, 6, 11, 22, 33, 66, 103, 206, 309, 618, 1133, 2266, 3399, 6798. There are 16 integers that are factors of 6798. The greatest factor of 6798 is 6798.

4. How to Find the LCM of 6792 and 6798?

Answer:

Least Common Multiple of 6792 and 6798 = 7695336

Step 1: Find the prime factorization of 6792

6792 = 2 x 2 x 2 x 3 x 283

Step 2: Find the prime factorization of 6798

6798 = 2 x 3 x 11 x 103

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

LCM = 7695336 = 2 x 2 x 2 x 3 x 11 x 103 x 283

Step 4: Therefore, the least common multiple of 6792 and 6798 is 7695336.