Least Common Multiple of 6684 and 6686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6684 and 6686 the smallest integer that is 22344612 that is divisible by both numbers.

Least Common Multiple (LCM) of 6684 and 6686 is 22344612.

LCM(6684,6686) = 22344612

LCM of 6684 and 6686

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

LCM of:
and

Least Common Multiple of 6684 and 6686

LCM of 6684 and 6686 is 22344612

Least common multiple can be found by multiplying the highest exponent prime factors of 6684 and 6686. First we will calculate the prime factors of 6684 and 6686.

Prime Factorization of 6684


2 6684
2 3342
3 1671
557 557
1

Prime factors of 6684 are 2, 3,557. Prime factorization of 6684 in exponential form is:

6684 = 22×31×5571

Prime Factorization of 6686


2 6686
3343 3343
1

Prime factors of 6686 are 2,3343. Prime factorization of 6686 in exponential form is:

6686 = 21×33431

Now multiplying the highest exponent prime factors to calculate the LCM of 6684 and 6686.

LCM(6684,6686) = 22×31×5571×33431
LCM(6684,6686) = 22344612

Factors of 6684

List of positive integer factors of 6684 that divides 6684 without a remainder.

1, 2, 3, 4, 6, 12, 557, 1114, 1671, 2228, 3342, 6684

Factors of 6686

List of positive integer factors of 6686 that divides 6686 without a remainder.

1, 2, 3343, 6686

Least Common Multiple of 6684 and 6686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6684 and 6686, than apply into the LCM equation.

GCF(6684,6686) = 2
LCM(6684,6686) = ( 6684 × 6686) / 2
LCM(6684,6686) = 44689224 / 2
LCM(6684,6686) = 22344612

Properties of LCM 6684 and 6686

(i) The LCM of 6686 and 6684 is associative

LCM of 6684 and 6686 = LCM of 6686 and 6684

Related Least Common Multiples of 6684

Related Least Common Multiples of 6686

Frequently Asked Questions on LCM of 6684 and 6686

1. What is the LCM of 6684 and 6686?

Answer: LCM of 6684 and 6686 is 22344612.

2. What are the Factors of 6684?

Answer: Factors of 6684 are 1, 2, 3, 4, 6, 12, 557, 1114, 1671, 2228, 3342, 6684. There are 12 integers that are factors of 6684. The greatest factor of 6684 is 6684.

3. What are the Factors of 6686?

Answer: Factors of 6686 are 1, 2, 3343, 6686. There are 4 integers that are factors of 6686. The greatest factor of 6686 is 6686.

4. How to Find the LCM of 6684 and 6686?

Answer:

Least Common Multiple of 6684 and 6686 = 22344612

Step 1: Find the prime factorization of 6684

6684 = 2 x 2 x 3 x 557

Step 2: Find the prime factorization of 6686

6686 = 2 x 3343

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

LCM = 22344612 = 2 x 2 x 3 x 557 x 3343

Step 4: Therefore, the least common multiple of 6684 and 6686 is 22344612.