Least Common Multiple of 6714 and 6718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6714 and 6718 the smallest integer that is 22552326 that is divisible by both numbers.

Least Common Multiple (LCM) of 6714 and 6718 is 22552326.

LCM(6714,6718) = 22552326

LCM of 6714 and 6718

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

LCM of:
and

Least Common Multiple of 6714 and 6718

LCM of 6714 and 6718 is 22552326

Least common multiple can be found by multiplying the highest exponent prime factors of 6714 and 6718. First we will calculate the prime factors of 6714 and 6718.

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

Prime Factorization of 6718


2 6718
3359 3359
1

Prime factors of 6718 are 2,3359. Prime factorization of 6718 in exponential form is:

6718 = 21×33591

Now multiplying the highest exponent prime factors to calculate the LCM of 6714 and 6718.

LCM(6714,6718) = 21×32×3731×33591
LCM(6714,6718) = 22552326

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

Factors of 6718

List of positive integer factors of 6718 that divides 6718 without a remainder.

1, 2, 3359, 6718

Least Common Multiple of 6714 and 6718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6714 and 6718, than apply into the LCM equation.

GCF(6714,6718) = 2
LCM(6714,6718) = ( 6714 × 6718) / 2
LCM(6714,6718) = 45104652 / 2
LCM(6714,6718) = 22552326

Properties of LCM 6714 and 6718

(i) The LCM of 6718 and 6714 is associative

LCM of 6714 and 6718 = LCM of 6718 and 6714

Related Least Common Multiples of 6714

Related Least Common Multiples of 6718

Frequently Asked Questions on LCM of 6714 and 6718

1. What is the LCM of 6714 and 6718?

Answer: LCM of 6714 and 6718 is 22552326.

2. 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.

3. What are the Factors of 6718?

Answer: Factors of 6718 are 1, 2, 3359, 6718. There are 4 integers that are factors of 6718. The greatest factor of 6718 is 6718.

4. How to Find the LCM of 6714 and 6718?

Answer:

Least Common Multiple of 6714 and 6718 = 22552326

Step 1: Find the prime factorization of 6714

6714 = 2 x 3 x 3 x 373

Step 2: Find the prime factorization of 6718

6718 = 2 x 3359

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

LCM = 22552326 = 2 x 3 x 3 x 373 x 3359

Step 4: Therefore, the least common multiple of 6714 and 6718 is 22552326.