Least Common Multiple of 6689 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 6689 and 6696 the smallest integer that is 44789544 that is divisible by both numbers.

Least Common Multiple (LCM) of 6689 and 6696 is 44789544.

LCM(6689,6696) = 44789544

LCM of 6689 and 6696

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

LCM of:
and

Least Common Multiple of 6689 and 6696

LCM of 6689 and 6696 is 44789544

Least common multiple can be found by multiplying the highest exponent prime factors of 6689 and 6696. First we will calculate the prime factors of 6689 and 6696.

Prime Factorization of 6689


6689 6689
1

Prime factors of 6689 are 6689. Prime factorization of 6689 in exponential form is:

6689 = 66891

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 6689 and 6696.

LCM(6689,6696) = 23×33×311×66891
LCM(6689,6696) = 44789544

Factors of 6689

List of positive integer factors of 6689 that divides 6689 without a remainder.

1, 6689

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 6689 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 6689 and 6696, than apply into the LCM equation.

GCF(6689,6696) = 1
LCM(6689,6696) = ( 6689 × 6696) / 1
LCM(6689,6696) = 44789544 / 1
LCM(6689,6696) = 44789544

Properties of LCM 6689 and 6696

(i) The LCM of 6696 and 6689 is associative

LCM of 6689 and 6696 = LCM of 6696 and 6689

Related Least Common Multiples of 6689

Related Least Common Multiples of 6696

Frequently Asked Questions on LCM of 6689 and 6696

1. What is the LCM of 6689 and 6696?

Answer: LCM of 6689 and 6696 is 44789544.

2. What are the Factors of 6689?

Answer: Factors of 6689 are 1, 6689. There are 2 integers that are factors of 6689. The greatest factor of 6689 is 6689.

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 6689 and 6696?

Answer:

Least Common Multiple of 6689 and 6696 = 44789544

Step 1: Find the prime factorization of 6689

6689 = 6689

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 = 44789544 = 2 x 2 x 2 x 3 x 3 x 3 x 31 x 6689

Step 4: Therefore, the least common multiple of 6689 and 6696 is 44789544.