Least Common Multiple of 6513 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 6513 and 6517 the smallest integer that is 42445221 that is divisible by both numbers.

Least Common Multiple (LCM) of 6513 and 6517 is 42445221.

LCM(6513,6517) = 42445221

LCM of 6513 and 6517

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

LCM of:
and

Least Common Multiple of 6513 and 6517

LCM of 6513 and 6517 is 42445221

Least common multiple can be found by multiplying the highest exponent prime factors of 6513 and 6517. First we will calculate the prime factors of 6513 and 6517.

Prime Factorization of 6513


3 6513
13 2171
167 167
1

Prime factors of 6513 are 3, 13,167. Prime factorization of 6513 in exponential form is:

6513 = 31×131×1671

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 6513 and 6517.

LCM(6513,6517) = 31×73×131×191×1671
LCM(6513,6517) = 42445221

Factors of 6513

List of positive integer factors of 6513 that divides 6513 without a remainder.

1, 3, 13, 39, 167, 501, 2171, 6513

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 6513 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 6513 and 6517, than apply into the LCM equation.

GCF(6513,6517) = 1
LCM(6513,6517) = ( 6513 × 6517) / 1
LCM(6513,6517) = 42445221 / 1
LCM(6513,6517) = 42445221

Properties of LCM 6513 and 6517

(i) The LCM of 6517 and 6513 is associative

LCM of 6513 and 6517 = LCM of 6517 and 6513

Related Least Common Multiples of 6513

Related Least Common Multiples of 6517

Frequently Asked Questions on LCM of 6513 and 6517

1. What is the LCM of 6513 and 6517?

Answer: LCM of 6513 and 6517 is 42445221.

2. What are the Factors of 6513?

Answer: Factors of 6513 are 1, 3, 13, 39, 167, 501, 2171, 6513. There are 8 integers that are factors of 6513. The greatest factor of 6513 is 6513.

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 6513 and 6517?

Answer:

Least Common Multiple of 6513 and 6517 = 42445221

Step 1: Find the prime factorization of 6513

6513 = 3 x 13 x 167

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 = 42445221 = 3 x 7 x 7 x 7 x 13 x 19 x 167

Step 4: Therefore, the least common multiple of 6513 and 6517 is 42445221.