Least Common Multiple of 6584 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 6584 and 6591 the smallest integer that is 43395144 that is divisible by both numbers.

Least Common Multiple (LCM) of 6584 and 6591 is 43395144.

LCM(6584,6591) = 43395144

LCM of 6584 and 6591

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

LCM of:
and

Least Common Multiple of 6584 and 6591

LCM of 6584 and 6591 is 43395144

Least common multiple can be found by multiplying the highest exponent prime factors of 6584 and 6591. First we will calculate the prime factors of 6584 and 6591.

Prime Factorization of 6584


2 6584
2 3292
2 1646
823 823
1

Prime factors of 6584 are 2,823. Prime factorization of 6584 in exponential form is:

6584 = 23×8231

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 6584 and 6591.

LCM(6584,6591) = 23×31×133×8231
LCM(6584,6591) = 43395144

Factors of 6584

List of positive integer factors of 6584 that divides 6584 without a remainder.

1, 2, 4, 8, 823, 1646, 3292, 6584

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 6584 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 6584 and 6591, than apply into the LCM equation.

GCF(6584,6591) = 1
LCM(6584,6591) = ( 6584 × 6591) / 1
LCM(6584,6591) = 43395144 / 1
LCM(6584,6591) = 43395144

Properties of LCM 6584 and 6591

(i) The LCM of 6591 and 6584 is associative

LCM of 6584 and 6591 = LCM of 6591 and 6584

Related Least Common Multiples of 6584

Related Least Common Multiples of 6591

Frequently Asked Questions on LCM of 6584 and 6591

1. What is the LCM of 6584 and 6591?

Answer: LCM of 6584 and 6591 is 43395144.

2. What are the Factors of 6584?

Answer: Factors of 6584 are 1, 2, 4, 8, 823, 1646, 3292, 6584. There are 8 integers that are factors of 6584. The greatest factor of 6584 is 6584.

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 6584 and 6591?

Answer:

Least Common Multiple of 6584 and 6591 = 43395144

Step 1: Find the prime factorization of 6584

6584 = 2 x 2 x 2 x 823

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 = 43395144 = 2 x 2 x 2 x 3 x 13 x 13 x 13 x 823

Step 4: Therefore, the least common multiple of 6584 and 6591 is 43395144.