Least Common Multiple of 6773 and 6777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6773 and 6777 the smallest integer that is 45900621 that is divisible by both numbers.

Least Common Multiple (LCM) of 6773 and 6777 is 45900621.

LCM(6773,6777) = 45900621

LCM of 6773 and 6777

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

LCM of:
and

Least Common Multiple of 6773 and 6777

LCM of 6773 and 6777 is 45900621

Least common multiple can be found by multiplying the highest exponent prime factors of 6773 and 6777. First we will calculate the prime factors of 6773 and 6777.

Prime Factorization of 6773


13 6773
521 521
1

Prime factors of 6773 are 13,521. Prime factorization of 6773 in exponential form is:

6773 = 131×5211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6773 and 6777.

LCM(6773,6777) = 33×131×2511×5211
LCM(6773,6777) = 45900621

Factors of 6773

List of positive integer factors of 6773 that divides 6773 without a remainder.

1, 13, 521, 6773

Factors of 6777

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

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

Least Common Multiple of 6773 and 6777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6773 and 6777, than apply into the LCM equation.

GCF(6773,6777) = 1
LCM(6773,6777) = ( 6773 × 6777) / 1
LCM(6773,6777) = 45900621 / 1
LCM(6773,6777) = 45900621

Properties of LCM 6773 and 6777

(i) The LCM of 6777 and 6773 is associative

LCM of 6773 and 6777 = LCM of 6777 and 6773

Related Least Common Multiples of 6773

Related Least Common Multiples of 6777

Frequently Asked Questions on LCM of 6773 and 6777

1. What is the LCM of 6773 and 6777?

Answer: LCM of 6773 and 6777 is 45900621.

2. What are the Factors of 6773?

Answer: Factors of 6773 are 1, 13, 521, 6773. There are 4 integers that are factors of 6773. The greatest factor of 6773 is 6773.

3. 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.

4. How to Find the LCM of 6773 and 6777?

Answer:

Least Common Multiple of 6773 and 6777 = 45900621

Step 1: Find the prime factorization of 6773

6773 = 13 x 521

Step 2: Find the prime factorization of 6777

6777 = 3 x 3 x 3 x 251

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

LCM = 45900621 = 3 x 3 x 3 x 13 x 251 x 521

Step 4: Therefore, the least common multiple of 6773 and 6777 is 45900621.