Least Common Multiple of 6606 and 6612

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 6612 the smallest integer that is 7279812 that is divisible by both numbers.

Least Common Multiple (LCM) of 6606 and 6612 is 7279812.

LCM(6606,6612) = 7279812

LCM of 6606 and 6612

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

LCM of:
and

Least Common Multiple of 6606 and 6612

LCM of 6606 and 6612 is 7279812

Least common multiple can be found by multiplying the highest exponent prime factors of 6606 and 6612. First we will calculate the prime factors of 6606 and 6612.

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 6612


2 6612
2 3306
3 1653
19 551
29 29
1

Prime factors of 6612 are 2, 3, 19,29. Prime factorization of 6612 in exponential form is:

6612 = 22×31×191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 6606 and 6612.

LCM(6606,6612) = 22×32×191×291×3671
LCM(6606,6612) = 7279812

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 6612

List of positive integer factors of 6612 that divides 6612 without a remainder.

1, 2, 3, 4, 6, 12, 19, 29, 38, 57, 58, 76, 87, 114, 116, 174, 228, 348, 551, 1102, 1653, 2204, 3306, 6612

Least Common Multiple of 6606 and 6612 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 6612, than apply into the LCM equation.

GCF(6606,6612) = 6
LCM(6606,6612) = ( 6606 × 6612) / 6
LCM(6606,6612) = 43678872 / 6
LCM(6606,6612) = 7279812

Properties of LCM 6606 and 6612

(i) The LCM of 6612 and 6606 is associative

LCM of 6606 and 6612 = LCM of 6612 and 6606

Related Least Common Multiples of 6606

Related Least Common Multiples of 6612

Frequently Asked Questions on LCM of 6606 and 6612

1. What is the LCM of 6606 and 6612?

Answer: LCM of 6606 and 6612 is 7279812.

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 6612?

Answer: Factors of 6612 are 1, 2, 3, 4, 6, 12, 19, 29, 38, 57, 58, 76, 87, 114, 116, 174, 228, 348, 551, 1102, 1653, 2204, 3306, 6612. There are 24 integers that are factors of 6612. The greatest factor of 6612 is 6612.

4. How to Find the LCM of 6606 and 6612?

Answer:

Least Common Multiple of 6606 and 6612 = 7279812

Step 1: Find the prime factorization of 6606

6606 = 2 x 3 x 3 x 367

Step 2: Find the prime factorization of 6612

6612 = 2 x 2 x 3 x 19 x 29

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

LCM = 7279812 = 2 x 2 x 3 x 3 x 19 x 29 x 367

Step 4: Therefore, the least common multiple of 6606 and 6612 is 7279812.