Least Common Multiple of 6689 and 6695

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 6695 the smallest integer that is 44782855 that is divisible by both numbers.

Least Common Multiple (LCM) of 6689 and 6695 is 44782855.

LCM(6689,6695) = 44782855

LCM of 6689 and 6695

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

LCM of:
and

Least Common Multiple of 6689 and 6695

LCM of 6689 and 6695 is 44782855

Least common multiple can be found by multiplying the highest exponent prime factors of 6689 and 6695. First we will calculate the prime factors of 6689 and 6695.

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 6695


5 6695
13 1339
103 103
1

Prime factors of 6695 are 5, 13,103. Prime factorization of 6695 in exponential form is:

6695 = 51×131×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 6689 and 6695.

LCM(6689,6695) = 51×131×1031×66891
LCM(6689,6695) = 44782855

Factors of 6689

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

1, 6689

Factors of 6695

List of positive integer factors of 6695 that divides 6695 without a remainder.

1, 5, 13, 65, 103, 515, 1339, 6695

Least Common Multiple of 6689 and 6695 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 6695, than apply into the LCM equation.

GCF(6689,6695) = 1
LCM(6689,6695) = ( 6689 × 6695) / 1
LCM(6689,6695) = 44782855 / 1
LCM(6689,6695) = 44782855

Properties of LCM 6689 and 6695

(i) The LCM of 6695 and 6689 is associative

LCM of 6689 and 6695 = LCM of 6695 and 6689

Related Least Common Multiples of 6689

Related Least Common Multiples of 6695

Frequently Asked Questions on LCM of 6689 and 6695

1. What is the LCM of 6689 and 6695?

Answer: LCM of 6689 and 6695 is 44782855.

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 6695?

Answer: Factors of 6695 are 1, 5, 13, 65, 103, 515, 1339, 6695. There are 8 integers that are factors of 6695. The greatest factor of 6695 is 6695.

4. How to Find the LCM of 6689 and 6695?

Answer:

Least Common Multiple of 6689 and 6695 = 44782855

Step 1: Find the prime factorization of 6689

6689 = 6689

Step 2: Find the prime factorization of 6695

6695 = 5 x 13 x 103

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

LCM = 44782855 = 5 x 13 x 103 x 6689

Step 4: Therefore, the least common multiple of 6689 and 6695 is 44782855.