Least Common Multiple of 6790 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 6790 and 6798 the smallest integer that is 23079210 that is divisible by both numbers.

Least Common Multiple (LCM) of 6790 and 6798 is 23079210.

LCM(6790,6798) = 23079210

LCM of 6790 and 6798

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

LCM of:
and

Least Common Multiple of 6790 and 6798

LCM of 6790 and 6798 is 23079210

Least common multiple can be found by multiplying the highest exponent prime factors of 6790 and 6798. First we will calculate the prime factors of 6790 and 6798.

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

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 6790 and 6798.

LCM(6790,6798) = 21×31×51×71×111×971×1031
LCM(6790,6798) = 23079210

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

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 6790 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 6790 and 6798, than apply into the LCM equation.

GCF(6790,6798) = 2
LCM(6790,6798) = ( 6790 × 6798) / 2
LCM(6790,6798) = 46158420 / 2
LCM(6790,6798) = 23079210

Properties of LCM 6790 and 6798

(i) The LCM of 6798 and 6790 is associative

LCM of 6790 and 6798 = LCM of 6798 and 6790

Related Least Common Multiples of 6790

Related Least Common Multiples of 6798

Frequently Asked Questions on LCM of 6790 and 6798

1. What is the LCM of 6790 and 6798?

Answer: LCM of 6790 and 6798 is 23079210.

2. 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.

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 6790 and 6798?

Answer:

Least Common Multiple of 6790 and 6798 = 23079210

Step 1: Find the prime factorization of 6790

6790 = 2 x 5 x 7 x 97

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 = 23079210 = 2 x 3 x 5 x 7 x 11 x 97 x 103

Step 4: Therefore, the least common multiple of 6790 and 6798 is 23079210.