Least Common Multiple of 6684 and 6688

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 6688 the smallest integer that is 11175648 that is divisible by both numbers.

Least Common Multiple (LCM) of 6684 and 6688 is 11175648.

LCM(6684,6688) = 11175648

LCM of 6684 and 6688

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

LCM of:
and

Least Common Multiple of 6684 and 6688

LCM of 6684 and 6688 is 11175648

Least common multiple can be found by multiplying the highest exponent prime factors of 6684 and 6688. First we will calculate the prime factors of 6684 and 6688.

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 6688


2 6688
2 3344
2 1672
2 836
2 418
11 209
19 19
1

Prime factors of 6688 are 2, 11,19. Prime factorization of 6688 in exponential form is:

6688 = 25×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 6684 and 6688.

LCM(6684,6688) = 25×31×111×191×5571
LCM(6684,6688) = 11175648

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 6688

List of positive integer factors of 6688 that divides 6688 without a remainder.

1, 2, 4, 8, 11, 16, 19, 22, 32, 38, 44, 76, 88, 152, 176, 209, 304, 352, 418, 608, 836, 1672, 3344, 6688

Least Common Multiple of 6684 and 6688 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 6688, than apply into the LCM equation.

GCF(6684,6688) = 4
LCM(6684,6688) = ( 6684 × 6688) / 4
LCM(6684,6688) = 44702592 / 4
LCM(6684,6688) = 11175648

Properties of LCM 6684 and 6688

(i) The LCM of 6688 and 6684 is associative

LCM of 6684 and 6688 = LCM of 6688 and 6684

Related Least Common Multiples of 6684

Related Least Common Multiples of 6688

Frequently Asked Questions on LCM of 6684 and 6688

1. What is the LCM of 6684 and 6688?

Answer: LCM of 6684 and 6688 is 11175648.

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 6688?

Answer: Factors of 6688 are 1, 2, 4, 8, 11, 16, 19, 22, 32, 38, 44, 76, 88, 152, 176, 209, 304, 352, 418, 608, 836, 1672, 3344, 6688. There are 24 integers that are factors of 6688. The greatest factor of 6688 is 6688.

4. How to Find the LCM of 6684 and 6688?

Answer:

Least Common Multiple of 6684 and 6688 = 11175648

Step 1: Find the prime factorization of 6684

6684 = 2 x 2 x 3 x 557

Step 2: Find the prime factorization of 6688

6688 = 2 x 2 x 2 x 2 x 2 x 11 x 19

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

LCM = 11175648 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 19 x 557

Step 4: Therefore, the least common multiple of 6684 and 6688 is 11175648.