Least Common Multiple of 6777 and 6783

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 6783 the smallest integer that is 15322797 that is divisible by both numbers.

Least Common Multiple (LCM) of 6777 and 6783 is 15322797.

LCM(6777,6783) = 15322797

LCM of 6777 and 6783

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

LCM of:
and

Least Common Multiple of 6777 and 6783

LCM of 6777 and 6783 is 15322797

Least common multiple can be found by multiplying the highest exponent prime factors of 6777 and 6783. First we will calculate the prime factors of 6777 and 6783.

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 6783


3 6783
7 2261
17 323
19 19
1

Prime factors of 6783 are 3, 7, 17,19. Prime factorization of 6783 in exponential form is:

6783 = 31×71×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 6777 and 6783.

LCM(6777,6783) = 33×71×171×191×2511
LCM(6777,6783) = 15322797

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 6783

List of positive integer factors of 6783 that divides 6783 without a remainder.

1, 3, 7, 17, 19, 21, 51, 57, 119, 133, 323, 357, 399, 969, 2261, 6783

Least Common Multiple of 6777 and 6783 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 6783, than apply into the LCM equation.

GCF(6777,6783) = 3
LCM(6777,6783) = ( 6777 × 6783) / 3
LCM(6777,6783) = 45968391 / 3
LCM(6777,6783) = 15322797

Properties of LCM 6777 and 6783

(i) The LCM of 6783 and 6777 is associative

LCM of 6777 and 6783 = LCM of 6783 and 6777

Related Least Common Multiples of 6777

Related Least Common Multiples of 6783

Frequently Asked Questions on LCM of 6777 and 6783

1. What is the LCM of 6777 and 6783?

Answer: LCM of 6777 and 6783 is 15322797.

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 6783?

Answer: Factors of 6783 are 1, 3, 7, 17, 19, 21, 51, 57, 119, 133, 323, 357, 399, 969, 2261, 6783. There are 16 integers that are factors of 6783. The greatest factor of 6783 is 6783.

4. How to Find the LCM of 6777 and 6783?

Answer:

Least Common Multiple of 6777 and 6783 = 15322797

Step 1: Find the prime factorization of 6777

6777 = 3 x 3 x 3 x 251

Step 2: Find the prime factorization of 6783

6783 = 3 x 7 x 17 x 19

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

LCM = 15322797 = 3 x 3 x 3 x 7 x 17 x 19 x 251

Step 4: Therefore, the least common multiple of 6777 and 6783 is 15322797.