Least Common Multiple of 6771 and 6775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6771 and 6775 the smallest integer that is 45873525 that is divisible by both numbers.

Least Common Multiple (LCM) of 6771 and 6775 is 45873525.

LCM(6771,6775) = 45873525

LCM of 6771 and 6775

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

LCM of:
and

Least Common Multiple of 6771 and 6775

LCM of 6771 and 6775 is 45873525

Least common multiple can be found by multiplying the highest exponent prime factors of 6771 and 6775. First we will calculate the prime factors of 6771 and 6775.

Prime Factorization of 6771


3 6771
37 2257
61 61
1

Prime factors of 6771 are 3, 37,61. Prime factorization of 6771 in exponential form is:

6771 = 31×371×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6771 and 6775.

LCM(6771,6775) = 31×52×371×611×2711
LCM(6771,6775) = 45873525

Factors of 6771

List of positive integer factors of 6771 that divides 6771 without a remainder.

1, 3, 37, 61, 111, 183, 2257, 6771

Factors of 6775

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

1, 5, 25, 271, 1355, 6775

Least Common Multiple of 6771 and 6775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6771 and 6775, than apply into the LCM equation.

GCF(6771,6775) = 1
LCM(6771,6775) = ( 6771 × 6775) / 1
LCM(6771,6775) = 45873525 / 1
LCM(6771,6775) = 45873525

Properties of LCM 6771 and 6775

(i) The LCM of 6775 and 6771 is associative

LCM of 6771 and 6775 = LCM of 6775 and 6771

Related Least Common Multiples of 6771

Related Least Common Multiples of 6775

Frequently Asked Questions on LCM of 6771 and 6775

1. What is the LCM of 6771 and 6775?

Answer: LCM of 6771 and 6775 is 45873525.

2. What are the Factors of 6771?

Answer: Factors of 6771 are 1, 3, 37, 61, 111, 183, 2257, 6771. There are 8 integers that are factors of 6771. The greatest factor of 6771 is 6771.

3. 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.

4. How to Find the LCM of 6771 and 6775?

Answer:

Least Common Multiple of 6771 and 6775 = 45873525

Step 1: Find the prime factorization of 6771

6771 = 3 x 37 x 61

Step 2: Find the prime factorization of 6775

6775 = 5 x 5 x 271

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

LCM = 45873525 = 3 x 5 x 5 x 37 x 61 x 271

Step 4: Therefore, the least common multiple of 6771 and 6775 is 45873525.