Least Common Multiple of 6594 and 6600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6594 and 6600 the smallest integer that is 7253400 that is divisible by both numbers.

Least Common Multiple (LCM) of 6594 and 6600 is 7253400.

LCM(6594,6600) = 7253400

LCM of 6594 and 6600

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

LCM of:
and

Least Common Multiple of 6594 and 6600

LCM of 6594 and 6600 is 7253400

Least common multiple can be found by multiplying the highest exponent prime factors of 6594 and 6600. First we will calculate the prime factors of 6594 and 6600.

Prime Factorization of 6594


2 6594
3 3297
7 1099
157 157
1

Prime factors of 6594 are 2, 3, 7,157. Prime factorization of 6594 in exponential form is:

6594 = 21×31×71×1571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6594 and 6600.

LCM(6594,6600) = 23×31×52×71×111×1571
LCM(6594,6600) = 7253400

Factors of 6594

List of positive integer factors of 6594 that divides 6594 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 157, 314, 471, 942, 1099, 2198, 3297, 6594

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

Least Common Multiple of 6594 and 6600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6594 and 6600, than apply into the LCM equation.

GCF(6594,6600) = 6
LCM(6594,6600) = ( 6594 × 6600) / 6
LCM(6594,6600) = 43520400 / 6
LCM(6594,6600) = 7253400

Properties of LCM 6594 and 6600

(i) The LCM of 6600 and 6594 is associative

LCM of 6594 and 6600 = LCM of 6600 and 6594

Related Least Common Multiples of 6594

Related Least Common Multiples of 6600

Frequently Asked Questions on LCM of 6594 and 6600

1. What is the LCM of 6594 and 6600?

Answer: LCM of 6594 and 6600 is 7253400.

2. What are the Factors of 6594?

Answer: Factors of 6594 are 1, 2, 3, 6, 7, 14, 21, 42, 157, 314, 471, 942, 1099, 2198, 3297, 6594. There are 16 integers that are factors of 6594. The greatest factor of 6594 is 6594.

3. 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.

4. How to Find the LCM of 6594 and 6600?

Answer:

Least Common Multiple of 6594 and 6600 = 7253400

Step 1: Find the prime factorization of 6594

6594 = 2 x 3 x 7 x 157

Step 2: Find the prime factorization of 6600

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

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

LCM = 7253400 = 2 x 2 x 2 x 3 x 5 x 5 x 7 x 11 x 157

Step 4: Therefore, the least common multiple of 6594 and 6600 is 7253400.