Least Common Multiple of 6679 and 6687

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 6687 the smallest integer that is 44662473 that is divisible by both numbers.

Least Common Multiple (LCM) of 6679 and 6687 is 44662473.

LCM(6679,6687) = 44662473

LCM of 6679 and 6687

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

LCM of:
and

Least Common Multiple of 6679 and 6687

LCM of 6679 and 6687 is 44662473

Least common multiple can be found by multiplying the highest exponent prime factors of 6679 and 6687. First we will calculate the prime factors of 6679 and 6687.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 6679 and 6687.

LCM(6679,6687) = 32×7431×66791
LCM(6679,6687) = 44662473

Factors of 6679

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

1, 6679

Factors of 6687

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

1, 3, 9, 743, 2229, 6687

Least Common Multiple of 6679 and 6687 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 6687, than apply into the LCM equation.

GCF(6679,6687) = 1
LCM(6679,6687) = ( 6679 × 6687) / 1
LCM(6679,6687) = 44662473 / 1
LCM(6679,6687) = 44662473

Properties of LCM 6679 and 6687

(i) The LCM of 6687 and 6679 is associative

LCM of 6679 and 6687 = LCM of 6687 and 6679

Related Least Common Multiples of 6679

Related Least Common Multiples of 6687

Frequently Asked Questions on LCM of 6679 and 6687

1. What is the LCM of 6679 and 6687?

Answer: LCM of 6679 and 6687 is 44662473.

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 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.

4. How to Find the LCM of 6679 and 6687?

Answer:

Least Common Multiple of 6679 and 6687 = 44662473

Step 1: Find the prime factorization of 6679

6679 = 6679

Step 2: Find the prime factorization of 6687

6687 = 3 x 3 x 743

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

LCM = 44662473 = 3 x 3 x 743 x 6679

Step 4: Therefore, the least common multiple of 6679 and 6687 is 44662473.