Least Common Multiple of 6511 and 6517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6511 and 6517 the smallest integer that is 42432187 that is divisible by both numbers.

Least Common Multiple (LCM) of 6511 and 6517 is 42432187.

LCM(6511,6517) = 42432187

LCM of 6511 and 6517

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

LCM of:
and

Least Common Multiple of 6511 and 6517

LCM of 6511 and 6517 is 42432187

Least common multiple can be found by multiplying the highest exponent prime factors of 6511 and 6517. First we will calculate the prime factors of 6511 and 6517.

Prime Factorization of 6511


17 6511
383 383
1

Prime factors of 6511 are 17,383. Prime factorization of 6511 in exponential form is:

6511 = 171×3831

Prime Factorization of 6517


7 6517
7 931
7 133
19 19
1

Prime factors of 6517 are 7,19. Prime factorization of 6517 in exponential form is:

6517 = 73×191

Now multiplying the highest exponent prime factors to calculate the LCM of 6511 and 6517.

LCM(6511,6517) = 73×171×191×3831
LCM(6511,6517) = 42432187

Factors of 6511

List of positive integer factors of 6511 that divides 6511 without a remainder.

1, 17, 383, 6511

Factors of 6517

List of positive integer factors of 6517 that divides 6517 without a remainder.

1, 7, 19, 49, 133, 343, 931, 6517

Least Common Multiple of 6511 and 6517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6511 and 6517, than apply into the LCM equation.

GCF(6511,6517) = 1
LCM(6511,6517) = ( 6511 × 6517) / 1
LCM(6511,6517) = 42432187 / 1
LCM(6511,6517) = 42432187

Properties of LCM 6511 and 6517

(i) The LCM of 6517 and 6511 is associative

LCM of 6511 and 6517 = LCM of 6517 and 6511

Related Least Common Multiples of 6511

Related Least Common Multiples of 6517

Frequently Asked Questions on LCM of 6511 and 6517

1. What is the LCM of 6511 and 6517?

Answer: LCM of 6511 and 6517 is 42432187.

2. What are the Factors of 6511?

Answer: Factors of 6511 are 1, 17, 383, 6511. There are 4 integers that are factors of 6511. The greatest factor of 6511 is 6511.

3. What are the Factors of 6517?

Answer: Factors of 6517 are 1, 7, 19, 49, 133, 343, 931, 6517. There are 8 integers that are factors of 6517. The greatest factor of 6517 is 6517.

4. How to Find the LCM of 6511 and 6517?

Answer:

Least Common Multiple of 6511 and 6517 = 42432187

Step 1: Find the prime factorization of 6511

6511 = 17 x 383

Step 2: Find the prime factorization of 6517

6517 = 7 x 7 x 7 x 19

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

LCM = 42432187 = 7 x 7 x 7 x 17 x 19 x 383

Step 4: Therefore, the least common multiple of 6511 and 6517 is 42432187.