Least Common Multiple of 6687 and 6691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6687 and 6691 the smallest integer that is 44742717 that is divisible by both numbers.

Least Common Multiple (LCM) of 6687 and 6691 is 44742717.

LCM(6687,6691) = 44742717

LCM of 6687 and 6691

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

LCM of:
and

Least Common Multiple of 6687 and 6691

LCM of 6687 and 6691 is 44742717

Least common multiple can be found by multiplying the highest exponent prime factors of 6687 and 6691. First we will calculate the prime factors of 6687 and 6691.

Prime Factorization of 6687


3 6687
3 2229
743 743
1

Prime factors of 6687 are 3,743. Prime factorization of 6687 in exponential form is:

6687 = 32×7431

Prime Factorization of 6691


6691 6691
1

Prime factors of 6691 are 6691. Prime factorization of 6691 in exponential form is:

6691 = 66911

Now multiplying the highest exponent prime factors to calculate the LCM of 6687 and 6691.

LCM(6687,6691) = 32×7431×66911
LCM(6687,6691) = 44742717

Factors of 6687

List of positive integer factors of 6687 that divides 6687 without a remainder.

1, 3, 9, 743, 2229, 6687

Factors of 6691

List of positive integer factors of 6691 that divides 6691 without a remainder.

1, 6691

Least Common Multiple of 6687 and 6691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6687 and 6691, than apply into the LCM equation.

GCF(6687,6691) = 1
LCM(6687,6691) = ( 6687 × 6691) / 1
LCM(6687,6691) = 44742717 / 1
LCM(6687,6691) = 44742717

Properties of LCM 6687 and 6691

(i) The LCM of 6691 and 6687 is associative

LCM of 6687 and 6691 = LCM of 6691 and 6687

Related Least Common Multiples of 6687

Related Least Common Multiples of 6691

Frequently Asked Questions on LCM of 6687 and 6691

1. What is the LCM of 6687 and 6691?

Answer: LCM of 6687 and 6691 is 44742717.

2. What are the Factors of 6687?

Answer: Factors of 6687 are 1, 3, 9, 743, 2229, 6687. There are 6 integers that are factors of 6687. The greatest factor of 6687 is 6687.

3. What are the Factors of 6691?

Answer: Factors of 6691 are 1, 6691. There are 2 integers that are factors of 6691. The greatest factor of 6691 is 6691.

4. How to Find the LCM of 6687 and 6691?

Answer:

Least Common Multiple of 6687 and 6691 = 44742717

Step 1: Find the prime factorization of 6687

6687 = 3 x 3 x 743

Step 2: Find the prime factorization of 6691

6691 = 6691

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

LCM = 44742717 = 3 x 3 x 743 x 6691

Step 4: Therefore, the least common multiple of 6687 and 6691 is 44742717.