Least Common Multiple of 6790 and 6796

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 6796 the smallest integer that is 23072420 that is divisible by both numbers.

Least Common Multiple (LCM) of 6790 and 6796 is 23072420.

LCM(6790,6796) = 23072420

LCM of 6790 and 6796

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

LCM of:
and

Least Common Multiple of 6790 and 6796

LCM of 6790 and 6796 is 23072420

Least common multiple can be found by multiplying the highest exponent prime factors of 6790 and 6796. First we will calculate the prime factors of 6790 and 6796.

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 6796


2 6796
2 3398
1699 1699
1

Prime factors of 6796 are 2,1699. Prime factorization of 6796 in exponential form is:

6796 = 22×16991

Now multiplying the highest exponent prime factors to calculate the LCM of 6790 and 6796.

LCM(6790,6796) = 22×51×71×971×16991
LCM(6790,6796) = 23072420

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 6796

List of positive integer factors of 6796 that divides 6796 without a remainder.

1, 2, 4, 1699, 3398, 6796

Least Common Multiple of 6790 and 6796 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 6796, than apply into the LCM equation.

GCF(6790,6796) = 2
LCM(6790,6796) = ( 6790 × 6796) / 2
LCM(6790,6796) = 46144840 / 2
LCM(6790,6796) = 23072420

Properties of LCM 6790 and 6796

(i) The LCM of 6796 and 6790 is associative

LCM of 6790 and 6796 = LCM of 6796 and 6790

Related Least Common Multiples of 6790

Related Least Common Multiples of 6796

Frequently Asked Questions on LCM of 6790 and 6796

1. What is the LCM of 6790 and 6796?

Answer: LCM of 6790 and 6796 is 23072420.

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 6796?

Answer: Factors of 6796 are 1, 2, 4, 1699, 3398, 6796. There are 6 integers that are factors of 6796. The greatest factor of 6796 is 6796.

4. How to Find the LCM of 6790 and 6796?

Answer:

Least Common Multiple of 6790 and 6796 = 23072420

Step 1: Find the prime factorization of 6790

6790 = 2 x 5 x 7 x 97

Step 2: Find the prime factorization of 6796

6796 = 2 x 2 x 1699

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

LCM = 23072420 = 2 x 2 x 5 x 7 x 97 x 1699

Step 4: Therefore, the least common multiple of 6790 and 6796 is 23072420.