Least Common Multiple of 6763 and 6771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6763 and 6771 the smallest integer that is 45792273 that is divisible by both numbers.

Least Common Multiple (LCM) of 6763 and 6771 is 45792273.

LCM(6763,6771) = 45792273

LCM of 6763 and 6771

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

LCM of:
and

Least Common Multiple of 6763 and 6771

LCM of 6763 and 6771 is 45792273

Least common multiple can be found by multiplying the highest exponent prime factors of 6763 and 6771. First we will calculate the prime factors of 6763 and 6771.

Prime Factorization of 6763


6763 6763
1

Prime factors of 6763 are 6763. Prime factorization of 6763 in exponential form is:

6763 = 67631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6763 and 6771.

LCM(6763,6771) = 31×371×611×67631
LCM(6763,6771) = 45792273

Factors of 6763

List of positive integer factors of 6763 that divides 6763 without a remainder.

1, 6763

Factors of 6771

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

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

Least Common Multiple of 6763 and 6771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6763 and 6771, than apply into the LCM equation.

GCF(6763,6771) = 1
LCM(6763,6771) = ( 6763 × 6771) / 1
LCM(6763,6771) = 45792273 / 1
LCM(6763,6771) = 45792273

Properties of LCM 6763 and 6771

(i) The LCM of 6771 and 6763 is associative

LCM of 6763 and 6771 = LCM of 6771 and 6763

Related Least Common Multiples of 6763

Related Least Common Multiples of 6771

Frequently Asked Questions on LCM of 6763 and 6771

1. What is the LCM of 6763 and 6771?

Answer: LCM of 6763 and 6771 is 45792273.

2. What are the Factors of 6763?

Answer: Factors of 6763 are 1, 6763. There are 2 integers that are factors of 6763. The greatest factor of 6763 is 6763.

3. 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.

4. How to Find the LCM of 6763 and 6771?

Answer:

Least Common Multiple of 6763 and 6771 = 45792273

Step 1: Find the prime factorization of 6763

6763 = 6763

Step 2: Find the prime factorization of 6771

6771 = 3 x 37 x 61

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

LCM = 45792273 = 3 x 37 x 61 x 6763

Step 4: Therefore, the least common multiple of 6763 and 6771 is 45792273.