Least Common Multiple of 6777 and 6779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6777 and 6779 the smallest integer that is 45941283 that is divisible by both numbers.

Least Common Multiple (LCM) of 6777 and 6779 is 45941283.

LCM(6777,6779) = 45941283

LCM of 6777 and 6779

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

LCM of:
and

Least Common Multiple of 6777 and 6779

LCM of 6777 and 6779 is 45941283

Least common multiple can be found by multiplying the highest exponent prime factors of 6777 and 6779. First we will calculate the prime factors of 6777 and 6779.

Prime Factorization of 6777


3 6777
3 2259
3 753
251 251
1

Prime factors of 6777 are 3,251. Prime factorization of 6777 in exponential form is:

6777 = 33×2511

Prime Factorization of 6779


6779 6779
1

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

6779 = 67791

Now multiplying the highest exponent prime factors to calculate the LCM of 6777 and 6779.

LCM(6777,6779) = 33×2511×67791
LCM(6777,6779) = 45941283

Factors of 6777

List of positive integer factors of 6777 that divides 6777 without a remainder.

1, 3, 9, 27, 251, 753, 2259, 6777

Factors of 6779

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

1, 6779

Least Common Multiple of 6777 and 6779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6777 and 6779, than apply into the LCM equation.

GCF(6777,6779) = 1
LCM(6777,6779) = ( 6777 × 6779) / 1
LCM(6777,6779) = 45941283 / 1
LCM(6777,6779) = 45941283

Properties of LCM 6777 and 6779

(i) The LCM of 6779 and 6777 is associative

LCM of 6777 and 6779 = LCM of 6779 and 6777

Related Least Common Multiples of 6777

Related Least Common Multiples of 6779

Frequently Asked Questions on LCM of 6777 and 6779

1. What is the LCM of 6777 and 6779?

Answer: LCM of 6777 and 6779 is 45941283.

2. What are the Factors of 6777?

Answer: Factors of 6777 are 1, 3, 9, 27, 251, 753, 2259, 6777. There are 8 integers that are factors of 6777. The greatest factor of 6777 is 6777.

3. 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.

4. How to Find the LCM of 6777 and 6779?

Answer:

Least Common Multiple of 6777 and 6779 = 45941283

Step 1: Find the prime factorization of 6777

6777 = 3 x 3 x 3 x 251

Step 2: Find the prime factorization of 6779

6779 = 6779

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

LCM = 45941283 = 3 x 3 x 3 x 251 x 6779

Step 4: Therefore, the least common multiple of 6777 and 6779 is 45941283.