Least Common Multiple of 6606 and 6609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6606 and 6609 the smallest integer that is 14553018 that is divisible by both numbers.

Least Common Multiple (LCM) of 6606 and 6609 is 14553018.

LCM(6606,6609) = 14553018

LCM of 6606 and 6609

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

LCM of:
and

Least Common Multiple of 6606 and 6609

LCM of 6606 and 6609 is 14553018

Least common multiple can be found by multiplying the highest exponent prime factors of 6606 and 6609. First we will calculate the prime factors of 6606 and 6609.

Prime Factorization of 6606


2 6606
3 3303
3 1101
367 367
1

Prime factors of 6606 are 2, 3,367. Prime factorization of 6606 in exponential form is:

6606 = 21×32×3671

Prime Factorization of 6609


3 6609
2203 2203
1

Prime factors of 6609 are 3,2203. Prime factorization of 6609 in exponential form is:

6609 = 31×22031

Now multiplying the highest exponent prime factors to calculate the LCM of 6606 and 6609.

LCM(6606,6609) = 21×32×3671×22031
LCM(6606,6609) = 14553018

Factors of 6606

List of positive integer factors of 6606 that divides 6606 without a remainder.

1, 2, 3, 6, 9, 18, 367, 734, 1101, 2202, 3303, 6606

Factors of 6609

List of positive integer factors of 6609 that divides 6609 without a remainder.

1, 3, 2203, 6609

Least Common Multiple of 6606 and 6609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6606 and 6609, than apply into the LCM equation.

GCF(6606,6609) = 3
LCM(6606,6609) = ( 6606 × 6609) / 3
LCM(6606,6609) = 43659054 / 3
LCM(6606,6609) = 14553018

Properties of LCM 6606 and 6609

(i) The LCM of 6609 and 6606 is associative

LCM of 6606 and 6609 = LCM of 6609 and 6606

Related Least Common Multiples of 6606

Related Least Common Multiples of 6609

Frequently Asked Questions on LCM of 6606 and 6609

1. What is the LCM of 6606 and 6609?

Answer: LCM of 6606 and 6609 is 14553018.

2. What are the Factors of 6606?

Answer: Factors of 6606 are 1, 2, 3, 6, 9, 18, 367, 734, 1101, 2202, 3303, 6606. There are 12 integers that are factors of 6606. The greatest factor of 6606 is 6606.

3. What are the Factors of 6609?

Answer: Factors of 6609 are 1, 3, 2203, 6609. There are 4 integers that are factors of 6609. The greatest factor of 6609 is 6609.

4. How to Find the LCM of 6606 and 6609?

Answer:

Least Common Multiple of 6606 and 6609 = 14553018

Step 1: Find the prime factorization of 6606

6606 = 2 x 3 x 3 x 367

Step 2: Find the prime factorization of 6609

6609 = 3 x 2203

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

LCM = 14553018 = 2 x 3 x 3 x 367 x 2203

Step 4: Therefore, the least common multiple of 6606 and 6609 is 14553018.