Least Common Multiple of 6575 and 6580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6575 and 6580 the smallest integer that is 8652700 that is divisible by both numbers.

Least Common Multiple (LCM) of 6575 and 6580 is 8652700.

LCM(6575,6580) = 8652700

LCM of 6575 and 6580

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

LCM of:
and

Least Common Multiple of 6575 and 6580

LCM of 6575 and 6580 is 8652700

Least common multiple can be found by multiplying the highest exponent prime factors of 6575 and 6580. First we will calculate the prime factors of 6575 and 6580.

Prime Factorization of 6575


5 6575
5 1315
263 263
1

Prime factors of 6575 are 5,263. Prime factorization of 6575 in exponential form is:

6575 = 52×2631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6575 and 6580.

LCM(6575,6580) = 22×52×71×471×2631
LCM(6575,6580) = 8652700

Factors of 6575

List of positive integer factors of 6575 that divides 6575 without a remainder.

1, 5, 25, 263, 1315, 6575

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

Least Common Multiple of 6575 and 6580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6575 and 6580, than apply into the LCM equation.

GCF(6575,6580) = 5
LCM(6575,6580) = ( 6575 × 6580) / 5
LCM(6575,6580) = 43263500 / 5
LCM(6575,6580) = 8652700

Properties of LCM 6575 and 6580

(i) The LCM of 6580 and 6575 is associative

LCM of 6575 and 6580 = LCM of 6580 and 6575

Related Least Common Multiples of 6575

Related Least Common Multiples of 6580

Frequently Asked Questions on LCM of 6575 and 6580

1. What is the LCM of 6575 and 6580?

Answer: LCM of 6575 and 6580 is 8652700.

2. What are the Factors of 6575?

Answer: Factors of 6575 are 1, 5, 25, 263, 1315, 6575. There are 6 integers that are factors of 6575. The greatest factor of 6575 is 6575.

3. 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.

4. How to Find the LCM of 6575 and 6580?

Answer:

Least Common Multiple of 6575 and 6580 = 8652700

Step 1: Find the prime factorization of 6575

6575 = 5 x 5 x 263

Step 2: Find the prime factorization of 6580

6580 = 2 x 2 x 5 x 7 x 47

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

LCM = 8652700 = 2 x 2 x 5 x 5 x 7 x 47 x 263

Step 4: Therefore, the least common multiple of 6575 and 6580 is 8652700.