Least Common Multiple of 6573 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 6573 and 6580 the smallest integer that is 6178620 that is divisible by both numbers.

Least Common Multiple (LCM) of 6573 and 6580 is 6178620.

LCM(6573,6580) = 6178620

LCM of 6573 and 6580

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

LCM of:
and

Least Common Multiple of 6573 and 6580

LCM of 6573 and 6580 is 6178620

Least common multiple can be found by multiplying the highest exponent prime factors of 6573 and 6580. First we will calculate the prime factors of 6573 and 6580.

Prime Factorization of 6573


3 6573
7 2191
313 313
1

Prime factors of 6573 are 3, 7,313. Prime factorization of 6573 in exponential form is:

6573 = 31×71×3131

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 6573 and 6580.

LCM(6573,6580) = 22×31×51×71×471×3131
LCM(6573,6580) = 6178620

Factors of 6573

List of positive integer factors of 6573 that divides 6573 without a remainder.

1, 3, 7, 21, 313, 939, 2191, 6573

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 6573 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 6573 and 6580, than apply into the LCM equation.

GCF(6573,6580) = 7
LCM(6573,6580) = ( 6573 × 6580) / 7
LCM(6573,6580) = 43250340 / 7
LCM(6573,6580) = 6178620

Properties of LCM 6573 and 6580

(i) The LCM of 6580 and 6573 is associative

LCM of 6573 and 6580 = LCM of 6580 and 6573

Related Least Common Multiples of 6573

Related Least Common Multiples of 6580

Frequently Asked Questions on LCM of 6573 and 6580

1. What is the LCM of 6573 and 6580?

Answer: LCM of 6573 and 6580 is 6178620.

2. What are the Factors of 6573?

Answer: Factors of 6573 are 1, 3, 7, 21, 313, 939, 2191, 6573. There are 8 integers that are factors of 6573. The greatest factor of 6573 is 6573.

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 6573 and 6580?

Answer:

Least Common Multiple of 6573 and 6580 = 6178620

Step 1: Find the prime factorization of 6573

6573 = 3 x 7 x 313

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 = 6178620 = 2 x 2 x 3 x 5 x 7 x 47 x 313

Step 4: Therefore, the least common multiple of 6573 and 6580 is 6178620.