Least Common Multiple of 6706 and 6709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6706 and 6709 the smallest integer that is 44990554 that is divisible by both numbers.

Least Common Multiple (LCM) of 6706 and 6709 is 44990554.

LCM(6706,6709) = 44990554

LCM of 6706 and 6709

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

LCM of:
and

Least Common Multiple of 6706 and 6709

LCM of 6706 and 6709 is 44990554

Least common multiple can be found by multiplying the highest exponent prime factors of 6706 and 6709. First we will calculate the prime factors of 6706 and 6709.

Prime Factorization of 6706


2 6706
7 3353
479 479
1

Prime factors of 6706 are 2, 7,479. Prime factorization of 6706 in exponential form is:

6706 = 21×71×4791

Prime Factorization of 6709


6709 6709
1

Prime factors of 6709 are 6709. Prime factorization of 6709 in exponential form is:

6709 = 67091

Now multiplying the highest exponent prime factors to calculate the LCM of 6706 and 6709.

LCM(6706,6709) = 21×71×4791×67091
LCM(6706,6709) = 44990554

Factors of 6706

List of positive integer factors of 6706 that divides 6706 without a remainder.

1, 2, 7, 14, 479, 958, 3353, 6706

Factors of 6709

List of positive integer factors of 6709 that divides 6709 without a remainder.

1, 6709

Least Common Multiple of 6706 and 6709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6706 and 6709, than apply into the LCM equation.

GCF(6706,6709) = 1
LCM(6706,6709) = ( 6706 × 6709) / 1
LCM(6706,6709) = 44990554 / 1
LCM(6706,6709) = 44990554

Properties of LCM 6706 and 6709

(i) The LCM of 6709 and 6706 is associative

LCM of 6706 and 6709 = LCM of 6709 and 6706

Related Least Common Multiples of 6706

Related Least Common Multiples of 6709

Frequently Asked Questions on LCM of 6706 and 6709

1. What is the LCM of 6706 and 6709?

Answer: LCM of 6706 and 6709 is 44990554.

2. What are the Factors of 6706?

Answer: Factors of 6706 are 1, 2, 7, 14, 479, 958, 3353, 6706. There are 8 integers that are factors of 6706. The greatest factor of 6706 is 6706.

3. What are the Factors of 6709?

Answer: Factors of 6709 are 1, 6709. There are 2 integers that are factors of 6709. The greatest factor of 6709 is 6709.

4. How to Find the LCM of 6706 and 6709?

Answer:

Least Common Multiple of 6706 and 6709 = 44990554

Step 1: Find the prime factorization of 6706

6706 = 2 x 7 x 479

Step 2: Find the prime factorization of 6709

6709 = 6709

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

LCM = 44990554 = 2 x 7 x 479 x 6709

Step 4: Therefore, the least common multiple of 6706 and 6709 is 44990554.