Least Common Multiple of 6777 and 6780

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 6780 the smallest integer that is 15316020 that is divisible by both numbers.

Least Common Multiple (LCM) of 6777 and 6780 is 15316020.

LCM(6777,6780) = 15316020

LCM of 6777 and 6780

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

LCM of:
and

Least Common Multiple of 6777 and 6780

LCM of 6777 and 6780 is 15316020

Least common multiple can be found by multiplying the highest exponent prime factors of 6777 and 6780. First we will calculate the prime factors of 6777 and 6780.

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 6780


2 6780
2 3390
3 1695
5 565
113 113
1

Prime factors of 6780 are 2, 3, 5,113. Prime factorization of 6780 in exponential form is:

6780 = 22×31×51×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 6777 and 6780.

LCM(6777,6780) = 22×33×51×1131×2511
LCM(6777,6780) = 15316020

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 6780

List of positive integer factors of 6780 that divides 6780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 113, 226, 339, 452, 565, 678, 1130, 1356, 1695, 2260, 3390, 6780

Least Common Multiple of 6777 and 6780 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 6780, than apply into the LCM equation.

GCF(6777,6780) = 3
LCM(6777,6780) = ( 6777 × 6780) / 3
LCM(6777,6780) = 45948060 / 3
LCM(6777,6780) = 15316020

Properties of LCM 6777 and 6780

(i) The LCM of 6780 and 6777 is associative

LCM of 6777 and 6780 = LCM of 6780 and 6777

Related Least Common Multiples of 6777

Related Least Common Multiples of 6780

Frequently Asked Questions on LCM of 6777 and 6780

1. What is the LCM of 6777 and 6780?

Answer: LCM of 6777 and 6780 is 15316020.

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 6780?

Answer: Factors of 6780 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 113, 226, 339, 452, 565, 678, 1130, 1356, 1695, 2260, 3390, 6780. There are 24 integers that are factors of 6780. The greatest factor of 6780 is 6780.

4. How to Find the LCM of 6777 and 6780?

Answer:

Least Common Multiple of 6777 and 6780 = 15316020

Step 1: Find the prime factorization of 6777

6777 = 3 x 3 x 3 x 251

Step 2: Find the prime factorization of 6780

6780 = 2 x 2 x 3 x 5 x 113

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

LCM = 15316020 = 2 x 2 x 3 x 3 x 3 x 5 x 113 x 251

Step 4: Therefore, the least common multiple of 6777 and 6780 is 15316020.