Least Common Multiple of 6600 and 6604

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 6604 the smallest integer that is 10896600 that is divisible by both numbers.

Least Common Multiple (LCM) of 6600 and 6604 is 10896600.

LCM(6600,6604) = 10896600

LCM of 6600 and 6604

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

LCM of:
and

Least Common Multiple of 6600 and 6604

LCM of 6600 and 6604 is 10896600

Least common multiple can be found by multiplying the highest exponent prime factors of 6600 and 6604. First we will calculate the prime factors of 6600 and 6604.

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 6604


2 6604
2 3302
13 1651
127 127
1

Prime factors of 6604 are 2, 13,127. Prime factorization of 6604 in exponential form is:

6604 = 22×131×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 6600 and 6604.

LCM(6600,6604) = 23×31×52×111×131×1271
LCM(6600,6604) = 10896600

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 6604

List of positive integer factors of 6604 that divides 6604 without a remainder.

1, 2, 4, 13, 26, 52, 127, 254, 508, 1651, 3302, 6604

Least Common Multiple of 6600 and 6604 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 6604, than apply into the LCM equation.

GCF(6600,6604) = 4
LCM(6600,6604) = ( 6600 × 6604) / 4
LCM(6600,6604) = 43586400 / 4
LCM(6600,6604) = 10896600

Properties of LCM 6600 and 6604

(i) The LCM of 6604 and 6600 is associative

LCM of 6600 and 6604 = LCM of 6604 and 6600

Related Least Common Multiples of 6600

Related Least Common Multiples of 6604

Frequently Asked Questions on LCM of 6600 and 6604

1. What is the LCM of 6600 and 6604?

Answer: LCM of 6600 and 6604 is 10896600.

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 6604?

Answer: Factors of 6604 are 1, 2, 4, 13, 26, 52, 127, 254, 508, 1651, 3302, 6604. There are 12 integers that are factors of 6604. The greatest factor of 6604 is 6604.

4. How to Find the LCM of 6600 and 6604?

Answer:

Least Common Multiple of 6600 and 6604 = 10896600

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 6604

6604 = 2 x 2 x 13 x 127

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

LCM = 10896600 = 2 x 2 x 2 x 3 x 5 x 5 x 11 x 13 x 127

Step 4: Therefore, the least common multiple of 6600 and 6604 is 10896600.