Least Common Multiple of 6775 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 6775 and 6777 the smallest integer that is 45914175 that is divisible by both numbers.

Least Common Multiple (LCM) of 6775 and 6777 is 45914175.

LCM(6775,6777) = 45914175

LCM of 6775 and 6777

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

LCM of:
and

Least Common Multiple of 6775 and 6777

LCM of 6775 and 6777 is 45914175

Least common multiple can be found by multiplying the highest exponent prime factors of 6775 and 6777. First we will calculate the prime factors of 6775 and 6777.

Prime Factorization of 6775


5 6775
5 1355
271 271
1

Prime factors of 6775 are 5,271. Prime factorization of 6775 in exponential form is:

6775 = 52×2711

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 6775 and 6777.

LCM(6775,6777) = 33×52×2511×2711
LCM(6775,6777) = 45914175

Factors of 6775

List of positive integer factors of 6775 that divides 6775 without a remainder.

1, 5, 25, 271, 1355, 6775

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 6775 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 6775 and 6777, than apply into the LCM equation.

GCF(6775,6777) = 1
LCM(6775,6777) = ( 6775 × 6777) / 1
LCM(6775,6777) = 45914175 / 1
LCM(6775,6777) = 45914175

Properties of LCM 6775 and 6777

(i) The LCM of 6777 and 6775 is associative

LCM of 6775 and 6777 = LCM of 6777 and 6775

Related Least Common Multiples of 6775

Related Least Common Multiples of 6777

Frequently Asked Questions on LCM of 6775 and 6777

1. What is the LCM of 6775 and 6777?

Answer: LCM of 6775 and 6777 is 45914175.

2. What are the Factors of 6775?

Answer: Factors of 6775 are 1, 5, 25, 271, 1355, 6775. There are 6 integers that are factors of 6775. The greatest factor of 6775 is 6775.

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 6775 and 6777?

Answer:

Least Common Multiple of 6775 and 6777 = 45914175

Step 1: Find the prime factorization of 6775

6775 = 5 x 5 x 271

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 = 45914175 = 3 x 3 x 3 x 5 x 5 x 251 x 271

Step 4: Therefore, the least common multiple of 6775 and 6777 is 45914175.