Least Common Multiple of 8513 and 8517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8513 and 8517 the smallest integer that is 72505221 that is divisible by both numbers.

Least Common Multiple (LCM) of 8513 and 8517 is 72505221.

LCM(8513,8517) = 72505221

LCM of 8513 and 8517

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

LCM of:
and

Least Common Multiple of 8513 and 8517

LCM of 8513 and 8517 is 72505221

Least common multiple can be found by multiplying the highest exponent prime factors of 8513 and 8517. First we will calculate the prime factors of 8513 and 8517.

Prime Factorization of 8513


8513 8513
1

Prime factors of 8513 are 8513. Prime factorization of 8513 in exponential form is:

8513 = 85131

Prime Factorization of 8517


3 8517
17 2839
167 167
1

Prime factors of 8517 are 3, 17,167. Prime factorization of 8517 in exponential form is:

8517 = 31×171×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 8513 and 8517.

LCM(8513,8517) = 31×171×1671×85131
LCM(8513,8517) = 72505221

Factors of 8513

List of positive integer factors of 8513 that divides 8513 without a remainder.

1, 8513

Factors of 8517

List of positive integer factors of 8517 that divides 8517 without a remainder.

1, 3, 17, 51, 167, 501, 2839, 8517

Least Common Multiple of 8513 and 8517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8513 and 8517, than apply into the LCM equation.

GCF(8513,8517) = 1
LCM(8513,8517) = ( 8513 × 8517) / 1
LCM(8513,8517) = 72505221 / 1
LCM(8513,8517) = 72505221

Properties of LCM 8513 and 8517

(i) The LCM of 8517 and 8513 is associative

LCM of 8513 and 8517 = LCM of 8517 and 8513

Related Least Common Multiples of 8513

Related Least Common Multiples of 8517

Frequently Asked Questions on LCM of 8513 and 8517

1. What is the LCM of 8513 and 8517?

Answer: LCM of 8513 and 8517 is 72505221.

2. What are the Factors of 8513?

Answer: Factors of 8513 are 1, 8513. There are 2 integers that are factors of 8513. The greatest factor of 8513 is 8513.

3. What are the Factors of 8517?

Answer: Factors of 8517 are 1, 3, 17, 51, 167, 501, 2839, 8517. There are 8 integers that are factors of 8517. The greatest factor of 8517 is 8517.

4. How to Find the LCM of 8513 and 8517?

Answer:

Least Common Multiple of 8513 and 8517 = 72505221

Step 1: Find the prime factorization of 8513

8513 = 8513

Step 2: Find the prime factorization of 8517

8517 = 3 x 17 x 167

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

LCM = 72505221 = 3 x 17 x 167 x 8513

Step 4: Therefore, the least common multiple of 8513 and 8517 is 72505221.