Least Common Multiple of 6580 and 6586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6580 and 6586 the smallest integer that is 21667940 that is divisible by both numbers.

Least Common Multiple (LCM) of 6580 and 6586 is 21667940.

LCM(6580,6586) = 21667940

LCM of 6580 and 6586

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

LCM of:
and

Least Common Multiple of 6580 and 6586

LCM of 6580 and 6586 is 21667940

Least common multiple can be found by multiplying the highest exponent prime factors of 6580 and 6586. First we will calculate the prime factors of 6580 and 6586.

Prime Factorization of 6580


2 6580
2 3290
5 1645
7 329
47 47
1

Prime factors of 6580 are 2, 5, 7,47. Prime factorization of 6580 in exponential form is:

6580 = 22×51×71×471

Prime Factorization of 6586


2 6586
37 3293
89 89
1

Prime factors of 6586 are 2, 37,89. Prime factorization of 6586 in exponential form is:

6586 = 21×371×891

Now multiplying the highest exponent prime factors to calculate the LCM of 6580 and 6586.

LCM(6580,6586) = 22×51×71×371×471×891
LCM(6580,6586) = 21667940

Factors of 6580

List of positive integer factors of 6580 that divides 6580 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 47, 70, 94, 140, 188, 235, 329, 470, 658, 940, 1316, 1645, 3290, 6580

Factors of 6586

List of positive integer factors of 6586 that divides 6586 without a remainder.

1, 2, 37, 74, 89, 178, 3293, 6586

Least Common Multiple of 6580 and 6586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6580 and 6586, than apply into the LCM equation.

GCF(6580,6586) = 2
LCM(6580,6586) = ( 6580 × 6586) / 2
LCM(6580,6586) = 43335880 / 2
LCM(6580,6586) = 21667940

Properties of LCM 6580 and 6586

(i) The LCM of 6586 and 6580 is associative

LCM of 6580 and 6586 = LCM of 6586 and 6580

Related Least Common Multiples of 6580

Related Least Common Multiples of 6586

Frequently Asked Questions on LCM of 6580 and 6586

1. What is the LCM of 6580 and 6586?

Answer: LCM of 6580 and 6586 is 21667940.

2. What are the Factors of 6580?

Answer: Factors of 6580 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 47, 70, 94, 140, 188, 235, 329, 470, 658, 940, 1316, 1645, 3290, 6580. There are 24 integers that are factors of 6580. The greatest factor of 6580 is 6580.

3. What are the Factors of 6586?

Answer: Factors of 6586 are 1, 2, 37, 74, 89, 178, 3293, 6586. There are 8 integers that are factors of 6586. The greatest factor of 6586 is 6586.

4. How to Find the LCM of 6580 and 6586?

Answer:

Least Common Multiple of 6580 and 6586 = 21667940

Step 1: Find the prime factorization of 6580

6580 = 2 x 2 x 5 x 7 x 47

Step 2: Find the prime factorization of 6586

6586 = 2 x 37 x 89

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

LCM = 21667940 = 2 x 2 x 5 x 7 x 37 x 47 x 89

Step 4: Therefore, the least common multiple of 6580 and 6586 is 21667940.