Least Common Multiple of 6688 and 6696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6688 and 6696 the smallest integer that is 5597856 that is divisible by both numbers.

Least Common Multiple (LCM) of 6688 and 6696 is 5597856.

LCM(6688,6696) = 5597856

LCM of 6688 and 6696

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

LCM of:
and

Least Common Multiple of 6688 and 6696

LCM of 6688 and 6696 is 5597856

Least common multiple can be found by multiplying the highest exponent prime factors of 6688 and 6696. First we will calculate the prime factors of 6688 and 6696.

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

Prime Factorization of 6696


2 6696
2 3348
2 1674
3 837
3 279
3 93
31 31
1

Prime factors of 6696 are 2, 3,31. Prime factorization of 6696 in exponential form is:

6696 = 23×33×311

Now multiplying the highest exponent prime factors to calculate the LCM of 6688 and 6696.

LCM(6688,6696) = 25×33×111×191×311
LCM(6688,6696) = 5597856

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

Factors of 6696

List of positive integer factors of 6696 that divides 6696 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 31, 36, 54, 62, 72, 93, 108, 124, 186, 216, 248, 279, 372, 558, 744, 837, 1116, 1674, 2232, 3348, 6696

Least Common Multiple of 6688 and 6696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6688 and 6696, than apply into the LCM equation.

GCF(6688,6696) = 8
LCM(6688,6696) = ( 6688 × 6696) / 8
LCM(6688,6696) = 44782848 / 8
LCM(6688,6696) = 5597856

Properties of LCM 6688 and 6696

(i) The LCM of 6696 and 6688 is associative

LCM of 6688 and 6696 = LCM of 6696 and 6688

Related Least Common Multiples of 6688

Related Least Common Multiples of 6696

Frequently Asked Questions on LCM of 6688 and 6696

1. What is the LCM of 6688 and 6696?

Answer: LCM of 6688 and 6696 is 5597856.

2. 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.

3. What are the Factors of 6696?

Answer: Factors of 6696 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 31, 36, 54, 62, 72, 93, 108, 124, 186, 216, 248, 279, 372, 558, 744, 837, 1116, 1674, 2232, 3348, 6696. There are 32 integers that are factors of 6696. The greatest factor of 6696 is 6696.

4. How to Find the LCM of 6688 and 6696?

Answer:

Least Common Multiple of 6688 and 6696 = 5597856

Step 1: Find the prime factorization of 6688

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

Step 2: Find the prime factorization of 6696

6696 = 2 x 2 x 2 x 3 x 3 x 3 x 31

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

LCM = 5597856 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 x 19 x 31

Step 4: Therefore, the least common multiple of 6688 and 6696 is 5597856.