Least Common Multiple of 6790 and 6795

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 6795 the smallest integer that is 9227610 that is divisible by both numbers.

Least Common Multiple (LCM) of 6790 and 6795 is 9227610.

LCM(6790,6795) = 9227610

LCM of 6790 and 6795

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

LCM of:
and

Least Common Multiple of 6790 and 6795

LCM of 6790 and 6795 is 9227610

Least common multiple can be found by multiplying the highest exponent prime factors of 6790 and 6795. First we will calculate the prime factors of 6790 and 6795.

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 6795


3 6795
3 2265
5 755
151 151
1

Prime factors of 6795 are 3, 5,151. Prime factorization of 6795 in exponential form is:

6795 = 32×51×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 6790 and 6795.

LCM(6790,6795) = 21×32×51×71×971×1511
LCM(6790,6795) = 9227610

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 6795

List of positive integer factors of 6795 that divides 6795 without a remainder.

1, 3, 5, 9, 15, 45, 151, 453, 755, 1359, 2265, 6795

Least Common Multiple of 6790 and 6795 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 6795, than apply into the LCM equation.

GCF(6790,6795) = 5
LCM(6790,6795) = ( 6790 × 6795) / 5
LCM(6790,6795) = 46138050 / 5
LCM(6790,6795) = 9227610

Properties of LCM 6790 and 6795

(i) The LCM of 6795 and 6790 is associative

LCM of 6790 and 6795 = LCM of 6795 and 6790

Related Least Common Multiples of 6790

Related Least Common Multiples of 6795

Frequently Asked Questions on LCM of 6790 and 6795

1. What is the LCM of 6790 and 6795?

Answer: LCM of 6790 and 6795 is 9227610.

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 6795?

Answer: Factors of 6795 are 1, 3, 5, 9, 15, 45, 151, 453, 755, 1359, 2265, 6795. There are 12 integers that are factors of 6795. The greatest factor of 6795 is 6795.

4. How to Find the LCM of 6790 and 6795?

Answer:

Least Common Multiple of 6790 and 6795 = 9227610

Step 1: Find the prime factorization of 6790

6790 = 2 x 5 x 7 x 97

Step 2: Find the prime factorization of 6795

6795 = 3 x 3 x 5 x 151

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

LCM = 9227610 = 2 x 3 x 3 x 5 x 7 x 97 x 151

Step 4: Therefore, the least common multiple of 6790 and 6795 is 9227610.