Least Common Multiple of 6679 and 6683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6679 and 6683 the smallest integer that is 44635757 that is divisible by both numbers.

Least Common Multiple (LCM) of 6679 and 6683 is 44635757.

LCM(6679,6683) = 44635757

LCM of 6679 and 6683

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

LCM of:
and

Least Common Multiple of 6679 and 6683

LCM of 6679 and 6683 is 44635757

Least common multiple can be found by multiplying the highest exponent prime factors of 6679 and 6683. First we will calculate the prime factors of 6679 and 6683.

Prime Factorization of 6679


6679 6679
1

Prime factors of 6679 are 6679. Prime factorization of 6679 in exponential form is:

6679 = 66791

Prime Factorization of 6683


41 6683
163 163
1

Prime factors of 6683 are 41,163. Prime factorization of 6683 in exponential form is:

6683 = 411×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 6679 and 6683.

LCM(6679,6683) = 411×1631×66791
LCM(6679,6683) = 44635757

Factors of 6679

List of positive integer factors of 6679 that divides 6679 without a remainder.

1, 6679

Factors of 6683

List of positive integer factors of 6683 that divides 6683 without a remainder.

1, 41, 163, 6683

Least Common Multiple of 6679 and 6683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6679 and 6683, than apply into the LCM equation.

GCF(6679,6683) = 1
LCM(6679,6683) = ( 6679 × 6683) / 1
LCM(6679,6683) = 44635757 / 1
LCM(6679,6683) = 44635757

Properties of LCM 6679 and 6683

(i) The LCM of 6683 and 6679 is associative

LCM of 6679 and 6683 = LCM of 6683 and 6679

Related Least Common Multiples of 6679

Related Least Common Multiples of 6683

Frequently Asked Questions on LCM of 6679 and 6683

1. What is the LCM of 6679 and 6683?

Answer: LCM of 6679 and 6683 is 44635757.

2. What are the Factors of 6679?

Answer: Factors of 6679 are 1, 6679. There are 2 integers that are factors of 6679. The greatest factor of 6679 is 6679.

3. What are the Factors of 6683?

Answer: Factors of 6683 are 1, 41, 163, 6683. There are 4 integers that are factors of 6683. The greatest factor of 6683 is 6683.

4. How to Find the LCM of 6679 and 6683?

Answer:

Least Common Multiple of 6679 and 6683 = 44635757

Step 1: Find the prime factorization of 6679

6679 = 6679

Step 2: Find the prime factorization of 6683

6683 = 41 x 163

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

LCM = 44635757 = 41 x 163 x 6679

Step 4: Therefore, the least common multiple of 6679 and 6683 is 44635757.