Least Common Multiple of 6677 and 6681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6677 and 6681 the smallest integer that is 44609037 that is divisible by both numbers.

Least Common Multiple (LCM) of 6677 and 6681 is 44609037.

LCM(6677,6681) = 44609037

LCM of 6677 and 6681

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

LCM of:
and

Least Common Multiple of 6677 and 6681

LCM of 6677 and 6681 is 44609037

Least common multiple can be found by multiplying the highest exponent prime factors of 6677 and 6681. First we will calculate the prime factors of 6677 and 6681.

Prime Factorization of 6677


11 6677
607 607
1

Prime factors of 6677 are 11,607. Prime factorization of 6677 in exponential form is:

6677 = 111×6071

Prime Factorization of 6681


3 6681
17 2227
131 131
1

Prime factors of 6681 are 3, 17,131. Prime factorization of 6681 in exponential form is:

6681 = 31×171×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 6677 and 6681.

LCM(6677,6681) = 31×111×171×1311×6071
LCM(6677,6681) = 44609037

Factors of 6677

List of positive integer factors of 6677 that divides 6677 without a remainder.

1, 11, 607, 6677

Factors of 6681

List of positive integer factors of 6681 that divides 6681 without a remainder.

1, 3, 17, 51, 131, 393, 2227, 6681

Least Common Multiple of 6677 and 6681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6677 and 6681, than apply into the LCM equation.

GCF(6677,6681) = 1
LCM(6677,6681) = ( 6677 × 6681) / 1
LCM(6677,6681) = 44609037 / 1
LCM(6677,6681) = 44609037

Properties of LCM 6677 and 6681

(i) The LCM of 6681 and 6677 is associative

LCM of 6677 and 6681 = LCM of 6681 and 6677

Related Least Common Multiples of 6677

Related Least Common Multiples of 6681

Frequently Asked Questions on LCM of 6677 and 6681

1. What is the LCM of 6677 and 6681?

Answer: LCM of 6677 and 6681 is 44609037.

2. What are the Factors of 6677?

Answer: Factors of 6677 are 1, 11, 607, 6677. There are 4 integers that are factors of 6677. The greatest factor of 6677 is 6677.

3. What are the Factors of 6681?

Answer: Factors of 6681 are 1, 3, 17, 51, 131, 393, 2227, 6681. There are 8 integers that are factors of 6681. The greatest factor of 6681 is 6681.

4. How to Find the LCM of 6677 and 6681?

Answer:

Least Common Multiple of 6677 and 6681 = 44609037

Step 1: Find the prime factorization of 6677

6677 = 11 x 607

Step 2: Find the prime factorization of 6681

6681 = 3 x 17 x 131

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

LCM = 44609037 = 3 x 11 x 17 x 131 x 607

Step 4: Therefore, the least common multiple of 6677 and 6681 is 44609037.