Least Common Multiple of 6782 and 6790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6782 and 6790 the smallest integer that is 23024890 that is divisible by both numbers.

Least Common Multiple (LCM) of 6782 and 6790 is 23024890.

LCM(6782,6790) = 23024890

LCM of 6782 and 6790

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

LCM of:
and

Least Common Multiple of 6782 and 6790

LCM of 6782 and 6790 is 23024890

Least common multiple can be found by multiplying the highest exponent prime factors of 6782 and 6790. First we will calculate the prime factors of 6782 and 6790.

Prime Factorization of 6782


2 6782
3391 3391
1

Prime factors of 6782 are 2,3391. Prime factorization of 6782 in exponential form is:

6782 = 21×33911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6782 and 6790.

LCM(6782,6790) = 21×51×71×971×33911
LCM(6782,6790) = 23024890

Factors of 6782

List of positive integer factors of 6782 that divides 6782 without a remainder.

1, 2, 3391, 6782

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

Least Common Multiple of 6782 and 6790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6782 and 6790, than apply into the LCM equation.

GCF(6782,6790) = 2
LCM(6782,6790) = ( 6782 × 6790) / 2
LCM(6782,6790) = 46049780 / 2
LCM(6782,6790) = 23024890

Properties of LCM 6782 and 6790

(i) The LCM of 6790 and 6782 is associative

LCM of 6782 and 6790 = LCM of 6790 and 6782

Related Least Common Multiples of 6782

Related Least Common Multiples of 6790

Frequently Asked Questions on LCM of 6782 and 6790

1. What is the LCM of 6782 and 6790?

Answer: LCM of 6782 and 6790 is 23024890.

2. What are the Factors of 6782?

Answer: Factors of 6782 are 1, 2, 3391, 6782. There are 4 integers that are factors of 6782. The greatest factor of 6782 is 6782.

3. 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.

4. How to Find the LCM of 6782 and 6790?

Answer:

Least Common Multiple of 6782 and 6790 = 23024890

Step 1: Find the prime factorization of 6782

6782 = 2 x 3391

Step 2: Find the prime factorization of 6790

6790 = 2 x 5 x 7 x 97

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

LCM = 23024890 = 2 x 5 x 7 x 97 x 3391

Step 4: Therefore, the least common multiple of 6782 and 6790 is 23024890.