Least Common Multiple of 6706 and 6707

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 6707 the smallest integer that is 44977142 that is divisible by both numbers.

Least Common Multiple (LCM) of 6706 and 6707 is 44977142.

LCM(6706,6707) = 44977142

LCM of 6706 and 6707

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

LCM of:
and

Least Common Multiple of 6706 and 6707

LCM of 6706 and 6707 is 44977142

Least common multiple can be found by multiplying the highest exponent prime factors of 6706 and 6707. First we will calculate the prime factors of 6706 and 6707.

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 6707


19 6707
353 353
1

Prime factors of 6707 are 19,353. Prime factorization of 6707 in exponential form is:

6707 = 191×3531

Now multiplying the highest exponent prime factors to calculate the LCM of 6706 and 6707.

LCM(6706,6707) = 21×71×191×3531×4791
LCM(6706,6707) = 44977142

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 6707

List of positive integer factors of 6707 that divides 6707 without a remainder.

1, 19, 353, 6707

Least Common Multiple of 6706 and 6707 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 6707, than apply into the LCM equation.

GCF(6706,6707) = 1
LCM(6706,6707) = ( 6706 × 6707) / 1
LCM(6706,6707) = 44977142 / 1
LCM(6706,6707) = 44977142

Properties of LCM 6706 and 6707

(i) The LCM of 6707 and 6706 is associative

LCM of 6706 and 6707 = LCM of 6707 and 6706

Related Least Common Multiples of 6706

Related Least Common Multiples of 6707

Frequently Asked Questions on LCM of 6706 and 6707

1. What is the LCM of 6706 and 6707?

Answer: LCM of 6706 and 6707 is 44977142.

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 6707?

Answer: Factors of 6707 are 1, 19, 353, 6707. There are 4 integers that are factors of 6707. The greatest factor of 6707 is 6707.

4. How to Find the LCM of 6706 and 6707?

Answer:

Least Common Multiple of 6706 and 6707 = 44977142

Step 1: Find the prime factorization of 6706

6706 = 2 x 7 x 479

Step 2: Find the prime factorization of 6707

6707 = 19 x 353

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

LCM = 44977142 = 2 x 7 x 19 x 353 x 479

Step 4: Therefore, the least common multiple of 6706 and 6707 is 44977142.