Least Common Multiple of 6709 and 6717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6709 and 6717 the smallest integer that is 45064353 that is divisible by both numbers.

Least Common Multiple (LCM) of 6709 and 6717 is 45064353.

LCM(6709,6717) = 45064353

LCM of 6709 and 6717

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

LCM of:
and

Least Common Multiple of 6709 and 6717

LCM of 6709 and 6717 is 45064353

Least common multiple can be found by multiplying the highest exponent prime factors of 6709 and 6717. First we will calculate the prime factors of 6709 and 6717.

Prime Factorization of 6709


6709 6709
1

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

6709 = 67091

Prime Factorization of 6717


3 6717
2239 2239
1

Prime factors of 6717 are 3,2239. Prime factorization of 6717 in exponential form is:

6717 = 31×22391

Now multiplying the highest exponent prime factors to calculate the LCM of 6709 and 6717.

LCM(6709,6717) = 31×22391×67091
LCM(6709,6717) = 45064353

Factors of 6709

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

1, 6709

Factors of 6717

List of positive integer factors of 6717 that divides 6717 without a remainder.

1, 3, 2239, 6717

Least Common Multiple of 6709 and 6717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6709 and 6717, than apply into the LCM equation.

GCF(6709,6717) = 1
LCM(6709,6717) = ( 6709 × 6717) / 1
LCM(6709,6717) = 45064353 / 1
LCM(6709,6717) = 45064353

Properties of LCM 6709 and 6717

(i) The LCM of 6717 and 6709 is associative

LCM of 6709 and 6717 = LCM of 6717 and 6709

Related Least Common Multiples of 6709

Related Least Common Multiples of 6717

Frequently Asked Questions on LCM of 6709 and 6717

1. What is the LCM of 6709 and 6717?

Answer: LCM of 6709 and 6717 is 45064353.

2. 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.

3. What are the Factors of 6717?

Answer: Factors of 6717 are 1, 3, 2239, 6717. There are 4 integers that are factors of 6717. The greatest factor of 6717 is 6717.

4. How to Find the LCM of 6709 and 6717?

Answer:

Least Common Multiple of 6709 and 6717 = 45064353

Step 1: Find the prime factorization of 6709

6709 = 6709

Step 2: Find the prime factorization of 6717

6717 = 3 x 2239

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

LCM = 45064353 = 3 x 2239 x 6709

Step 4: Therefore, the least common multiple of 6709 and 6717 is 45064353.