Least Common Multiple of 6779 and 6784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6779 and 6784 the smallest integer that is 45988736 that is divisible by both numbers.

Least Common Multiple (LCM) of 6779 and 6784 is 45988736.

LCM(6779,6784) = 45988736

LCM of 6779 and 6784

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

LCM of:
and

Least Common Multiple of 6779 and 6784

LCM of 6779 and 6784 is 45988736

Least common multiple can be found by multiplying the highest exponent prime factors of 6779 and 6784. First we will calculate the prime factors of 6779 and 6784.

Prime Factorization of 6779


6779 6779
1

Prime factors of 6779 are 6779. Prime factorization of 6779 in exponential form is:

6779 = 67791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6779 and 6784.

LCM(6779,6784) = 27×531×67791
LCM(6779,6784) = 45988736

Factors of 6779

List of positive integer factors of 6779 that divides 6779 without a remainder.

1, 6779

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

Least Common Multiple of 6779 and 6784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6779 and 6784, than apply into the LCM equation.

GCF(6779,6784) = 1
LCM(6779,6784) = ( 6779 × 6784) / 1
LCM(6779,6784) = 45988736 / 1
LCM(6779,6784) = 45988736

Properties of LCM 6779 and 6784

(i) The LCM of 6784 and 6779 is associative

LCM of 6779 and 6784 = LCM of 6784 and 6779

Related Least Common Multiples of 6779

Related Least Common Multiples of 6784

Frequently Asked Questions on LCM of 6779 and 6784

1. What is the LCM of 6779 and 6784?

Answer: LCM of 6779 and 6784 is 45988736.

2. What are the Factors of 6779?

Answer: Factors of 6779 are 1, 6779. There are 2 integers that are factors of 6779. The greatest factor of 6779 is 6779.

3. 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.

4. How to Find the LCM of 6779 and 6784?

Answer:

Least Common Multiple of 6779 and 6784 = 45988736

Step 1: Find the prime factorization of 6779

6779 = 6779

Step 2: Find the prime factorization of 6784

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

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

LCM = 45988736 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 53 x 6779

Step 4: Therefore, the least common multiple of 6779 and 6784 is 45988736.