Least Common Multiple of 6600 and 6606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6600 and 6606 the smallest integer that is 7266600 that is divisible by both numbers.

Least Common Multiple (LCM) of 6600 and 6606 is 7266600.

LCM(6600,6606) = 7266600

LCM of 6600 and 6606

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

LCM of:
and

Least Common Multiple of 6600 and 6606

LCM of 6600 and 6606 is 7266600

Least common multiple can be found by multiplying the highest exponent prime factors of 6600 and 6606. First we will calculate the prime factors of 6600 and 6606.

Prime Factorization of 6600


2 6600
2 3300
2 1650
3 825
5 275
5 55
11 11
1

Prime factors of 6600 are 2, 3, 5,11. Prime factorization of 6600 in exponential form is:

6600 = 23×31×52×111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6600 and 6606.

LCM(6600,6606) = 23×32×52×111×3671
LCM(6600,6606) = 7266600

Factors of 6600

List of positive integer factors of 6600 that divides 6600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 132, 150, 165, 200, 220, 264, 275, 300, 330, 440, 550, 600, 660, 825, 1100, 1320, 1650, 2200, 3300, 6600

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

Least Common Multiple of 6600 and 6606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6600 and 6606, than apply into the LCM equation.

GCF(6600,6606) = 6
LCM(6600,6606) = ( 6600 × 6606) / 6
LCM(6600,6606) = 43599600 / 6
LCM(6600,6606) = 7266600

Properties of LCM 6600 and 6606

(i) The LCM of 6606 and 6600 is associative

LCM of 6600 and 6606 = LCM of 6606 and 6600

Related Least Common Multiples of 6600

Related Least Common Multiples of 6606

Frequently Asked Questions on LCM of 6600 and 6606

1. What is the LCM of 6600 and 6606?

Answer: LCM of 6600 and 6606 is 7266600.

2. What are the Factors of 6600?

Answer: Factors of 6600 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 132, 150, 165, 200, 220, 264, 275, 300, 330, 440, 550, 600, 660, 825, 1100, 1320, 1650, 2200, 3300, 6600. There are 48 integers that are factors of 6600. The greatest factor of 6600 is 6600.

3. 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.

4. How to Find the LCM of 6600 and 6606?

Answer:

Least Common Multiple of 6600 and 6606 = 7266600

Step 1: Find the prime factorization of 6600

6600 = 2 x 2 x 2 x 3 x 5 x 5 x 11

Step 2: Find the prime factorization of 6606

6606 = 2 x 3 x 3 x 367

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

LCM = 7266600 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 11 x 367

Step 4: Therefore, the least common multiple of 6600 and 6606 is 7266600.