Least Common Multiple of 6573 and 6578

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 6578 the smallest integer that is 43237194 that is divisible by both numbers.

Least Common Multiple (LCM) of 6573 and 6578 is 43237194.

LCM(6573,6578) = 43237194

LCM of 6573 and 6578

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

LCM of:
and

Least Common Multiple of 6573 and 6578

LCM of 6573 and 6578 is 43237194

Least common multiple can be found by multiplying the highest exponent prime factors of 6573 and 6578. First we will calculate the prime factors of 6573 and 6578.

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 6578


2 6578
11 3289
13 299
23 23
1

Prime factors of 6578 are 2, 11, 13,23. Prime factorization of 6578 in exponential form is:

6578 = 21×111×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 6573 and 6578.

LCM(6573,6578) = 21×31×71×111×131×231×3131
LCM(6573,6578) = 43237194

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 6578

List of positive integer factors of 6578 that divides 6578 without a remainder.

1, 2, 11, 13, 22, 23, 26, 46, 143, 253, 286, 299, 506, 598, 3289, 6578

Least Common Multiple of 6573 and 6578 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 6578, than apply into the LCM equation.

GCF(6573,6578) = 1
LCM(6573,6578) = ( 6573 × 6578) / 1
LCM(6573,6578) = 43237194 / 1
LCM(6573,6578) = 43237194

Properties of LCM 6573 and 6578

(i) The LCM of 6578 and 6573 is associative

LCM of 6573 and 6578 = LCM of 6578 and 6573

Related Least Common Multiples of 6573

Related Least Common Multiples of 6578

Frequently Asked Questions on LCM of 6573 and 6578

1. What is the LCM of 6573 and 6578?

Answer: LCM of 6573 and 6578 is 43237194.

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 6578?

Answer: Factors of 6578 are 1, 2, 11, 13, 22, 23, 26, 46, 143, 253, 286, 299, 506, 598, 3289, 6578. There are 16 integers that are factors of 6578. The greatest factor of 6578 is 6578.

4. How to Find the LCM of 6573 and 6578?

Answer:

Least Common Multiple of 6573 and 6578 = 43237194

Step 1: Find the prime factorization of 6573

6573 = 3 x 7 x 313

Step 2: Find the prime factorization of 6578

6578 = 2 x 11 x 13 x 23

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

LCM = 43237194 = 2 x 3 x 7 x 11 x 13 x 23 x 313

Step 4: Therefore, the least common multiple of 6573 and 6578 is 43237194.