Least Common Multiple of 6580 and 6583

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 6583 the smallest integer that is 43316140 that is divisible by both numbers.

Least Common Multiple (LCM) of 6580 and 6583 is 43316140.

LCM(6580,6583) = 43316140

LCM of 6580 and 6583

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

LCM of:
and

Least Common Multiple of 6580 and 6583

LCM of 6580 and 6583 is 43316140

Least common multiple can be found by multiplying the highest exponent prime factors of 6580 and 6583. First we will calculate the prime factors of 6580 and 6583.

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 6583


29 6583
227 227
1

Prime factors of 6583 are 29,227. Prime factorization of 6583 in exponential form is:

6583 = 291×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 6580 and 6583.

LCM(6580,6583) = 22×51×71×291×471×2271
LCM(6580,6583) = 43316140

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 6583

List of positive integer factors of 6583 that divides 6583 without a remainder.

1, 29, 227, 6583

Least Common Multiple of 6580 and 6583 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 6583, than apply into the LCM equation.

GCF(6580,6583) = 1
LCM(6580,6583) = ( 6580 × 6583) / 1
LCM(6580,6583) = 43316140 / 1
LCM(6580,6583) = 43316140

Properties of LCM 6580 and 6583

(i) The LCM of 6583 and 6580 is associative

LCM of 6580 and 6583 = LCM of 6583 and 6580

Related Least Common Multiples of 6580

Related Least Common Multiples of 6583

Frequently Asked Questions on LCM of 6580 and 6583

1. What is the LCM of 6580 and 6583?

Answer: LCM of 6580 and 6583 is 43316140.

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 6583?

Answer: Factors of 6583 are 1, 29, 227, 6583. There are 4 integers that are factors of 6583. The greatest factor of 6583 is 6583.

4. How to Find the LCM of 6580 and 6583?

Answer:

Least Common Multiple of 6580 and 6583 = 43316140

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 6583

6583 = 29 x 227

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

LCM = 43316140 = 2 x 2 x 5 x 7 x 29 x 47 x 227

Step 4: Therefore, the least common multiple of 6580 and 6583 is 43316140.