Least Common Multiple of 6575 and 6579

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 6579 the smallest integer that is 43256925 that is divisible by both numbers.

Least Common Multiple (LCM) of 6575 and 6579 is 43256925.

LCM(6575,6579) = 43256925

LCM of 6575 and 6579

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

LCM of:
and

Least Common Multiple of 6575 and 6579

LCM of 6575 and 6579 is 43256925

Least common multiple can be found by multiplying the highest exponent prime factors of 6575 and 6579. First we will calculate the prime factors of 6575 and 6579.

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 6579


3 6579
3 2193
17 731
43 43
1

Prime factors of 6579 are 3, 17,43. Prime factorization of 6579 in exponential form is:

6579 = 32×171×431

Now multiplying the highest exponent prime factors to calculate the LCM of 6575 and 6579.

LCM(6575,6579) = 32×52×171×431×2631
LCM(6575,6579) = 43256925

Factors of 6575

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

1, 5, 25, 263, 1315, 6575

Factors of 6579

List of positive integer factors of 6579 that divides 6579 without a remainder.

1, 3, 9, 17, 43, 51, 129, 153, 387, 731, 2193, 6579

Least Common Multiple of 6575 and 6579 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 6579, than apply into the LCM equation.

GCF(6575,6579) = 1
LCM(6575,6579) = ( 6575 × 6579) / 1
LCM(6575,6579) = 43256925 / 1
LCM(6575,6579) = 43256925

Properties of LCM 6575 and 6579

(i) The LCM of 6579 and 6575 is associative

LCM of 6575 and 6579 = LCM of 6579 and 6575

Related Least Common Multiples of 6575

Related Least Common Multiples of 6579

Frequently Asked Questions on LCM of 6575 and 6579

1. What is the LCM of 6575 and 6579?

Answer: LCM of 6575 and 6579 is 43256925.

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 6579?

Answer: Factors of 6579 are 1, 3, 9, 17, 43, 51, 129, 153, 387, 731, 2193, 6579. There are 12 integers that are factors of 6579. The greatest factor of 6579 is 6579.

4. How to Find the LCM of 6575 and 6579?

Answer:

Least Common Multiple of 6575 and 6579 = 43256925

Step 1: Find the prime factorization of 6575

6575 = 5 x 5 x 263

Step 2: Find the prime factorization of 6579

6579 = 3 x 3 x 17 x 43

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

LCM = 43256925 = 3 x 3 x 5 x 5 x 17 x 43 x 263

Step 4: Therefore, the least common multiple of 6575 and 6579 is 43256925.