Least Common Multiple of 6683 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 6683 and 6688 the smallest integer that is 44695904 that is divisible by both numbers.

Least Common Multiple (LCM) of 6683 and 6688 is 44695904.

LCM(6683,6688) = 44695904

LCM of 6683 and 6688

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

LCM of:
and

Least Common Multiple of 6683 and 6688

LCM of 6683 and 6688 is 44695904

Least common multiple can be found by multiplying the highest exponent prime factors of 6683 and 6688. First we will calculate the prime factors of 6683 and 6688.

Prime Factorization of 6683


41 6683
163 163
1

Prime factors of 6683 are 41,163. Prime factorization of 6683 in exponential form is:

6683 = 411×1631

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 6683 and 6688.

LCM(6683,6688) = 25×111×191×411×1631
LCM(6683,6688) = 44695904

Factors of 6683

List of positive integer factors of 6683 that divides 6683 without a remainder.

1, 41, 163, 6683

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 6683 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 6683 and 6688, than apply into the LCM equation.

GCF(6683,6688) = 1
LCM(6683,6688) = ( 6683 × 6688) / 1
LCM(6683,6688) = 44695904 / 1
LCM(6683,6688) = 44695904

Properties of LCM 6683 and 6688

(i) The LCM of 6688 and 6683 is associative

LCM of 6683 and 6688 = LCM of 6688 and 6683

Related Least Common Multiples of 6683

Related Least Common Multiples of 6688

Frequently Asked Questions on LCM of 6683 and 6688

1. What is the LCM of 6683 and 6688?

Answer: LCM of 6683 and 6688 is 44695904.

2. What are the Factors of 6683?

Answer: Factors of 6683 are 1, 41, 163, 6683. There are 4 integers that are factors of 6683. The greatest factor of 6683 is 6683.

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 6683 and 6688?

Answer:

Least Common Multiple of 6683 and 6688 = 44695904

Step 1: Find the prime factorization of 6683

6683 = 41 x 163

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 = 44695904 = 2 x 2 x 2 x 2 x 2 x 11 x 19 x 41 x 163

Step 4: Therefore, the least common multiple of 6683 and 6688 is 44695904.