Least Common Multiple of 6585 and 6591

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 6591 the smallest integer that is 14467245 that is divisible by both numbers.

Least Common Multiple (LCM) of 6585 and 6591 is 14467245.

LCM(6585,6591) = 14467245

LCM of 6585 and 6591

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

LCM of:
and

Least Common Multiple of 6585 and 6591

LCM of 6585 and 6591 is 14467245

Least common multiple can be found by multiplying the highest exponent prime factors of 6585 and 6591. First we will calculate the prime factors of 6585 and 6591.

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 6591


3 6591
13 2197
13 169
13 13
1

Prime factors of 6591 are 3,13. Prime factorization of 6591 in exponential form is:

6591 = 31×133

Now multiplying the highest exponent prime factors to calculate the LCM of 6585 and 6591.

LCM(6585,6591) = 31×51×133×4391
LCM(6585,6591) = 14467245

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 6591

List of positive integer factors of 6591 that divides 6591 without a remainder.

1, 3, 13, 39, 169, 507, 2197, 6591

Least Common Multiple of 6585 and 6591 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 6591, than apply into the LCM equation.

GCF(6585,6591) = 3
LCM(6585,6591) = ( 6585 × 6591) / 3
LCM(6585,6591) = 43401735 / 3
LCM(6585,6591) = 14467245

Properties of LCM 6585 and 6591

(i) The LCM of 6591 and 6585 is associative

LCM of 6585 and 6591 = LCM of 6591 and 6585

Related Least Common Multiples of 6585

Related Least Common Multiples of 6591

Frequently Asked Questions on LCM of 6585 and 6591

1. What is the LCM of 6585 and 6591?

Answer: LCM of 6585 and 6591 is 14467245.

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 6591?

Answer: Factors of 6591 are 1, 3, 13, 39, 169, 507, 2197, 6591. There are 8 integers that are factors of 6591. The greatest factor of 6591 is 6591.

4. How to Find the LCM of 6585 and 6591?

Answer:

Least Common Multiple of 6585 and 6591 = 14467245

Step 1: Find the prime factorization of 6585

6585 = 3 x 5 x 439

Step 2: Find the prime factorization of 6591

6591 = 3 x 13 x 13 x 13

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

LCM = 14467245 = 3 x 5 x 13 x 13 x 13 x 439

Step 4: Therefore, the least common multiple of 6585 and 6591 is 14467245.