Least Common Multiple of 6775 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 6775 and 6779 the smallest integer that is 45927725 that is divisible by both numbers.

Least Common Multiple (LCM) of 6775 and 6779 is 45927725.

LCM(6775,6779) = 45927725

LCM of 6775 and 6779

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

LCM of:
and

Least Common Multiple of 6775 and 6779

LCM of 6775 and 6779 is 45927725

Least common multiple can be found by multiplying the highest exponent prime factors of 6775 and 6779. First we will calculate the prime factors of 6775 and 6779.

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 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 6775 and 6779.

LCM(6775,6779) = 52×2711×67791
LCM(6775,6779) = 45927725

Factors of 6775

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

1, 5, 25, 271, 1355, 6775

Factors of 6779

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

1, 6779

Least Common Multiple of 6775 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 6775 and 6779, than apply into the LCM equation.

GCF(6775,6779) = 1
LCM(6775,6779) = ( 6775 × 6779) / 1
LCM(6775,6779) = 45927725 / 1
LCM(6775,6779) = 45927725

Properties of LCM 6775 and 6779

(i) The LCM of 6779 and 6775 is associative

LCM of 6775 and 6779 = LCM of 6779 and 6775

Related Least Common Multiples of 6775

Related Least Common Multiples of 6779

Frequently Asked Questions on LCM of 6775 and 6779

1. What is the LCM of 6775 and 6779?

Answer: LCM of 6775 and 6779 is 45927725.

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 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 6775 and 6779?

Answer:

Least Common Multiple of 6775 and 6779 = 45927725

Step 1: Find the prime factorization of 6775

6775 = 5 x 5 x 271

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 = 45927725 = 5 x 5 x 271 x 6779

Step 4: Therefore, the least common multiple of 6775 and 6779 is 45927725.