Least Common Multiple of 6585 and 6592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6585 and 6592 the smallest integer that is 43408320 that is divisible by both numbers.

Least Common Multiple (LCM) of 6585 and 6592 is 43408320.

LCM(6585,6592) = 43408320

LCM of 6585 and 6592

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

LCM of:
and

Least Common Multiple of 6585 and 6592

LCM of 6585 and 6592 is 43408320

Least common multiple can be found by multiplying the highest exponent prime factors of 6585 and 6592. First we will calculate the prime factors of 6585 and 6592.

Prime Factorization of 6585


3 6585
5 2195
439 439
1

Prime factors of 6585 are 3, 5,439. Prime factorization of 6585 in exponential form is:

6585 = 31×51×4391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6585 and 6592.

LCM(6585,6592) = 26×31×51×1031×4391
LCM(6585,6592) = 43408320

Factors of 6585

List of positive integer factors of 6585 that divides 6585 without a remainder.

1, 3, 5, 15, 439, 1317, 2195, 6585

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

Least Common Multiple of 6585 and 6592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6585 and 6592, than apply into the LCM equation.

GCF(6585,6592) = 1
LCM(6585,6592) = ( 6585 × 6592) / 1
LCM(6585,6592) = 43408320 / 1
LCM(6585,6592) = 43408320

Properties of LCM 6585 and 6592

(i) The LCM of 6592 and 6585 is associative

LCM of 6585 and 6592 = LCM of 6592 and 6585

Related Least Common Multiples of 6585

Related Least Common Multiples of 6592

Frequently Asked Questions on LCM of 6585 and 6592

1. What is the LCM of 6585 and 6592?

Answer: LCM of 6585 and 6592 is 43408320.

2. What are the Factors of 6585?

Answer: Factors of 6585 are 1, 3, 5, 15, 439, 1317, 2195, 6585. There are 8 integers that are factors of 6585. The greatest factor of 6585 is 6585.

3. 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.

4. How to Find the LCM of 6585 and 6592?

Answer:

Least Common Multiple of 6585 and 6592 = 43408320

Step 1: Find the prime factorization of 6585

6585 = 3 x 5 x 439

Step 2: Find the prime factorization of 6592

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

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

LCM = 43408320 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 103 x 439

Step 4: Therefore, the least common multiple of 6585 and 6592 is 43408320.