Least Common Multiple of 6575 and 6581

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 6581 the smallest integer that is 43270075 that is divisible by both numbers.

Least Common Multiple (LCM) of 6575 and 6581 is 43270075.

LCM(6575,6581) = 43270075

LCM of 6575 and 6581

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

LCM of:
and

Least Common Multiple of 6575 and 6581

LCM of 6575 and 6581 is 43270075

Least common multiple can be found by multiplying the highest exponent prime factors of 6575 and 6581. First we will calculate the prime factors of 6575 and 6581.

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 6581


6581 6581
1

Prime factors of 6581 are 6581. Prime factorization of 6581 in exponential form is:

6581 = 65811

Now multiplying the highest exponent prime factors to calculate the LCM of 6575 and 6581.

LCM(6575,6581) = 52×2631×65811
LCM(6575,6581) = 43270075

Factors of 6575

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

1, 5, 25, 263, 1315, 6575

Factors of 6581

List of positive integer factors of 6581 that divides 6581 without a remainder.

1, 6581

Least Common Multiple of 6575 and 6581 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 6581, than apply into the LCM equation.

GCF(6575,6581) = 1
LCM(6575,6581) = ( 6575 × 6581) / 1
LCM(6575,6581) = 43270075 / 1
LCM(6575,6581) = 43270075

Properties of LCM 6575 and 6581

(i) The LCM of 6581 and 6575 is associative

LCM of 6575 and 6581 = LCM of 6581 and 6575

Related Least Common Multiples of 6575

Related Least Common Multiples of 6581

Frequently Asked Questions on LCM of 6575 and 6581

1. What is the LCM of 6575 and 6581?

Answer: LCM of 6575 and 6581 is 43270075.

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 6581?

Answer: Factors of 6581 are 1, 6581. There are 2 integers that are factors of 6581. The greatest factor of 6581 is 6581.

4. How to Find the LCM of 6575 and 6581?

Answer:

Least Common Multiple of 6575 and 6581 = 43270075

Step 1: Find the prime factorization of 6575

6575 = 5 x 5 x 263

Step 2: Find the prime factorization of 6581

6581 = 6581

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

LCM = 43270075 = 5 x 5 x 263 x 6581

Step 4: Therefore, the least common multiple of 6575 and 6581 is 43270075.