Least Common Multiple of 6709 and 6714

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 6714 the smallest integer that is 45044226 that is divisible by both numbers.

Least Common Multiple (LCM) of 6709 and 6714 is 45044226.

LCM(6709,6714) = 45044226

LCM of 6709 and 6714

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

LCM of:
and

Least Common Multiple of 6709 and 6714

LCM of 6709 and 6714 is 45044226

Least common multiple can be found by multiplying the highest exponent prime factors of 6709 and 6714. First we will calculate the prime factors of 6709 and 6714.

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 6714


2 6714
3 3357
3 1119
373 373
1

Prime factors of 6714 are 2, 3,373. Prime factorization of 6714 in exponential form is:

6714 = 21×32×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 6709 and 6714.

LCM(6709,6714) = 21×32×3731×67091
LCM(6709,6714) = 45044226

Factors of 6709

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

1, 6709

Factors of 6714

List of positive integer factors of 6714 that divides 6714 without a remainder.

1, 2, 3, 6, 9, 18, 373, 746, 1119, 2238, 3357, 6714

Least Common Multiple of 6709 and 6714 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 6714, than apply into the LCM equation.

GCF(6709,6714) = 1
LCM(6709,6714) = ( 6709 × 6714) / 1
LCM(6709,6714) = 45044226 / 1
LCM(6709,6714) = 45044226

Properties of LCM 6709 and 6714

(i) The LCM of 6714 and 6709 is associative

LCM of 6709 and 6714 = LCM of 6714 and 6709

Related Least Common Multiples of 6709

Related Least Common Multiples of 6714

Frequently Asked Questions on LCM of 6709 and 6714

1. What is the LCM of 6709 and 6714?

Answer: LCM of 6709 and 6714 is 45044226.

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 6714?

Answer: Factors of 6714 are 1, 2, 3, 6, 9, 18, 373, 746, 1119, 2238, 3357, 6714. There are 12 integers that are factors of 6714. The greatest factor of 6714 is 6714.

4. How to Find the LCM of 6709 and 6714?

Answer:

Least Common Multiple of 6709 and 6714 = 45044226

Step 1: Find the prime factorization of 6709

6709 = 6709

Step 2: Find the prime factorization of 6714

6714 = 2 x 3 x 3 x 373

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

LCM = 45044226 = 2 x 3 x 3 x 373 x 6709

Step 4: Therefore, the least common multiple of 6709 and 6714 is 45044226.