Least Common Multiple of 6784 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 6784 and 6790 the smallest integer that is 23031680 that is divisible by both numbers.

Least Common Multiple (LCM) of 6784 and 6790 is 23031680.

LCM(6784,6790) = 23031680

LCM of 6784 and 6790

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

LCM of:
and

Least Common Multiple of 6784 and 6790

LCM of 6784 and 6790 is 23031680

Least common multiple can be found by multiplying the highest exponent prime factors of 6784 and 6790. First we will calculate the prime factors of 6784 and 6790.

Prime Factorization of 6784


2 6784
2 3392
2 1696
2 848
2 424
2 212
2 106
53 53
1

Prime factors of 6784 are 2,53. Prime factorization of 6784 in exponential form is:

6784 = 27×531

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 6784 and 6790.

LCM(6784,6790) = 27×51×71×531×971
LCM(6784,6790) = 23031680

Factors of 6784

List of positive integer factors of 6784 that divides 6784 without a remainder.

1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 424, 848, 1696, 3392, 6784

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 6784 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 6784 and 6790, than apply into the LCM equation.

GCF(6784,6790) = 2
LCM(6784,6790) = ( 6784 × 6790) / 2
LCM(6784,6790) = 46063360 / 2
LCM(6784,6790) = 23031680

Properties of LCM 6784 and 6790

(i) The LCM of 6790 and 6784 is associative

LCM of 6784 and 6790 = LCM of 6790 and 6784

Related Least Common Multiples of 6784

Related Least Common Multiples of 6790

Frequently Asked Questions on LCM of 6784 and 6790

1. What is the LCM of 6784 and 6790?

Answer: LCM of 6784 and 6790 is 23031680.

2. What are the Factors of 6784?

Answer: Factors of 6784 are 1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 424, 848, 1696, 3392, 6784. There are 16 integers that are factors of 6784. The greatest factor of 6784 is 6784.

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 6784 and 6790?

Answer:

Least Common Multiple of 6784 and 6790 = 23031680

Step 1: Find the prime factorization of 6784

6784 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 53

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 = 23031680 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 53 x 97

Step 4: Therefore, the least common multiple of 6784 and 6790 is 23031680.