Least Common Multiple of 6579 and 6585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6579 and 6585 the smallest integer that is 14440905 that is divisible by both numbers.

Least Common Multiple (LCM) of 6579 and 6585 is 14440905.

LCM(6579,6585) = 14440905

LCM of 6579 and 6585

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

LCM of:
and

Least Common Multiple of 6579 and 6585

LCM of 6579 and 6585 is 14440905

Least common multiple can be found by multiplying the highest exponent prime factors of 6579 and 6585. First we will calculate the prime factors of 6579 and 6585.

Prime Factorization of 6579


3 6579
3 2193
17 731
43 43
1

Prime factors of 6579 are 3, 17,43. Prime factorization of 6579 in exponential form is:

6579 = 32×171×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6579 and 6585.

LCM(6579,6585) = 32×51×171×431×4391
LCM(6579,6585) = 14440905

Factors of 6579

List of positive integer factors of 6579 that divides 6579 without a remainder.

1, 3, 9, 17, 43, 51, 129, 153, 387, 731, 2193, 6579

Factors of 6585

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

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

Least Common Multiple of 6579 and 6585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6579 and 6585, than apply into the LCM equation.

GCF(6579,6585) = 3
LCM(6579,6585) = ( 6579 × 6585) / 3
LCM(6579,6585) = 43322715 / 3
LCM(6579,6585) = 14440905

Properties of LCM 6579 and 6585

(i) The LCM of 6585 and 6579 is associative

LCM of 6579 and 6585 = LCM of 6585 and 6579

Related Least Common Multiples of 6579

Related Least Common Multiples of 6585

Frequently Asked Questions on LCM of 6579 and 6585

1. What is the LCM of 6579 and 6585?

Answer: LCM of 6579 and 6585 is 14440905.

2. What are the Factors of 6579?

Answer: Factors of 6579 are 1, 3, 9, 17, 43, 51, 129, 153, 387, 731, 2193, 6579. There are 12 integers that are factors of 6579. The greatest factor of 6579 is 6579.

3. 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.

4. How to Find the LCM of 6579 and 6585?

Answer:

Least Common Multiple of 6579 and 6585 = 14440905

Step 1: Find the prime factorization of 6579

6579 = 3 x 3 x 17 x 43

Step 2: Find the prime factorization of 6585

6585 = 3 x 5 x 439

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

LCM = 14440905 = 3 x 3 x 5 x 17 x 43 x 439

Step 4: Therefore, the least common multiple of 6579 and 6585 is 14440905.