Least Common Multiple of 6600 and 6607

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 6607 the smallest integer that is 43606200 that is divisible by both numbers.

Least Common Multiple (LCM) of 6600 and 6607 is 43606200.

LCM(6600,6607) = 43606200

LCM of 6600 and 6607

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

LCM of:
and

Least Common Multiple of 6600 and 6607

LCM of 6600 and 6607 is 43606200

Least common multiple can be found by multiplying the highest exponent prime factors of 6600 and 6607. First we will calculate the prime factors of 6600 and 6607.

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 6607


6607 6607
1

Prime factors of 6607 are 6607. Prime factorization of 6607 in exponential form is:

6607 = 66071

Now multiplying the highest exponent prime factors to calculate the LCM of 6600 and 6607.

LCM(6600,6607) = 23×31×52×111×66071
LCM(6600,6607) = 43606200

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 6607

List of positive integer factors of 6607 that divides 6607 without a remainder.

1, 6607

Least Common Multiple of 6600 and 6607 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 6607, than apply into the LCM equation.

GCF(6600,6607) = 1
LCM(6600,6607) = ( 6600 × 6607) / 1
LCM(6600,6607) = 43606200 / 1
LCM(6600,6607) = 43606200

Properties of LCM 6600 and 6607

(i) The LCM of 6607 and 6600 is associative

LCM of 6600 and 6607 = LCM of 6607 and 6600

Related Least Common Multiples of 6600

Related Least Common Multiples of 6607

Frequently Asked Questions on LCM of 6600 and 6607

1. What is the LCM of 6600 and 6607?

Answer: LCM of 6600 and 6607 is 43606200.

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 6607?

Answer: Factors of 6607 are 1, 6607. There are 2 integers that are factors of 6607. The greatest factor of 6607 is 6607.

4. How to Find the LCM of 6600 and 6607?

Answer:

Least Common Multiple of 6600 and 6607 = 43606200

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 6607

6607 = 6607

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

LCM = 43606200 = 2 x 2 x 2 x 3 x 5 x 5 x 11 x 6607

Step 4: Therefore, the least common multiple of 6600 and 6607 is 43606200.