Least Common Multiple of 6592 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 6592 and 6600 the smallest integer that is 5438400 that is divisible by both numbers.

Least Common Multiple (LCM) of 6592 and 6600 is 5438400.

LCM(6592,6600) = 5438400

LCM of 6592 and 6600

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

LCM of:
and

Least Common Multiple of 6592 and 6600

LCM of 6592 and 6600 is 5438400

Least common multiple can be found by multiplying the highest exponent prime factors of 6592 and 6600. First we will calculate the prime factors of 6592 and 6600.

Prime Factorization of 6592


2 6592
2 3296
2 1648
2 824
2 412
2 206
103 103
1

Prime factors of 6592 are 2,103. Prime factorization of 6592 in exponential form is:

6592 = 26×1031

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 6592 and 6600.

LCM(6592,6600) = 26×31×52×111×1031
LCM(6592,6600) = 5438400

Factors of 6592

List of positive integer factors of 6592 that divides 6592 without a remainder.

1, 2, 4, 8, 16, 32, 64, 103, 206, 412, 824, 1648, 3296, 6592

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 6592 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 6592 and 6600, than apply into the LCM equation.

GCF(6592,6600) = 8
LCM(6592,6600) = ( 6592 × 6600) / 8
LCM(6592,6600) = 43507200 / 8
LCM(6592,6600) = 5438400

Properties of LCM 6592 and 6600

(i) The LCM of 6600 and 6592 is associative

LCM of 6592 and 6600 = LCM of 6600 and 6592

Related Least Common Multiples of 6592

Related Least Common Multiples of 6600

Frequently Asked Questions on LCM of 6592 and 6600

1. What is the LCM of 6592 and 6600?

Answer: LCM of 6592 and 6600 is 5438400.

2. What are the Factors of 6592?

Answer: Factors of 6592 are 1, 2, 4, 8, 16, 32, 64, 103, 206, 412, 824, 1648, 3296, 6592. There are 14 integers that are factors of 6592. The greatest factor of 6592 is 6592.

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 6592 and 6600?

Answer:

Least Common Multiple of 6592 and 6600 = 5438400

Step 1: Find the prime factorization of 6592

6592 = 2 x 2 x 2 x 2 x 2 x 2 x 103

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 = 5438400 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 11 x 103

Step 4: Therefore, the least common multiple of 6592 and 6600 is 5438400.