Least Common Multiple of 6794 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 6794 and 6798 the smallest integer that is 23092806 that is divisible by both numbers.

Least Common Multiple (LCM) of 6794 and 6798 is 23092806.

LCM(6794,6798) = 23092806

LCM of 6794 and 6798

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

LCM of:
and

Least Common Multiple of 6794 and 6798

LCM of 6794 and 6798 is 23092806

Least common multiple can be found by multiplying the highest exponent prime factors of 6794 and 6798. First we will calculate the prime factors of 6794 and 6798.

Prime Factorization of 6794


2 6794
43 3397
79 79
1

Prime factors of 6794 are 2, 43,79. Prime factorization of 6794 in exponential form is:

6794 = 21×431×791

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 6794 and 6798.

LCM(6794,6798) = 21×31×111×431×791×1031
LCM(6794,6798) = 23092806

Factors of 6794

List of positive integer factors of 6794 that divides 6794 without a remainder.

1, 2, 43, 79, 86, 158, 3397, 6794

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 6794 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 6794 and 6798, than apply into the LCM equation.

GCF(6794,6798) = 2
LCM(6794,6798) = ( 6794 × 6798) / 2
LCM(6794,6798) = 46185612 / 2
LCM(6794,6798) = 23092806

Properties of LCM 6794 and 6798

(i) The LCM of 6798 and 6794 is associative

LCM of 6794 and 6798 = LCM of 6798 and 6794

Related Least Common Multiples of 6794

Related Least Common Multiples of 6798

Frequently Asked Questions on LCM of 6794 and 6798

1. What is the LCM of 6794 and 6798?

Answer: LCM of 6794 and 6798 is 23092806.

2. What are the Factors of 6794?

Answer: Factors of 6794 are 1, 2, 43, 79, 86, 158, 3397, 6794. There are 8 integers that are factors of 6794. The greatest factor of 6794 is 6794.

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 6794 and 6798?

Answer:

Least Common Multiple of 6794 and 6798 = 23092806

Step 1: Find the prime factorization of 6794

6794 = 2 x 43 x 79

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 = 23092806 = 2 x 3 x 11 x 43 x 79 x 103

Step 4: Therefore, the least common multiple of 6794 and 6798 is 23092806.