Least Common Multiple of 8505 and 8513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8505 and 8513 the smallest integer that is 72403065 that is divisible by both numbers.

Least Common Multiple (LCM) of 8505 and 8513 is 72403065.

LCM(8505,8513) = 72403065

LCM of 8505 and 8513

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

LCM of:
and

Least Common Multiple of 8505 and 8513

LCM of 8505 and 8513 is 72403065

Least common multiple can be found by multiplying the highest exponent prime factors of 8505 and 8513. First we will calculate the prime factors of 8505 and 8513.

Prime Factorization of 8505


3 8505
3 2835
3 945
3 315
3 105
5 35
7 7
1

Prime factors of 8505 are 3, 5,7. Prime factorization of 8505 in exponential form is:

8505 = 35×51×71

Prime Factorization of 8513


8513 8513
1

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

8513 = 85131

Now multiplying the highest exponent prime factors to calculate the LCM of 8505 and 8513.

LCM(8505,8513) = 35×51×71×85131
LCM(8505,8513) = 72403065

Factors of 8505

List of positive integer factors of 8505 that divides 8505 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 243, 315, 405, 567, 945, 1215, 1701, 2835, 8505

Factors of 8513

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

1, 8513

Least Common Multiple of 8505 and 8513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8505 and 8513, than apply into the LCM equation.

GCF(8505,8513) = 1
LCM(8505,8513) = ( 8505 × 8513) / 1
LCM(8505,8513) = 72403065 / 1
LCM(8505,8513) = 72403065

Properties of LCM 8505 and 8513

(i) The LCM of 8513 and 8505 is associative

LCM of 8505 and 8513 = LCM of 8513 and 8505

Related Least Common Multiples of 8505

Related Least Common Multiples of 8513

Frequently Asked Questions on LCM of 8505 and 8513

1. What is the LCM of 8505 and 8513?

Answer: LCM of 8505 and 8513 is 72403065.

2. What are the Factors of 8505?

Answer: Factors of 8505 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 243, 315, 405, 567, 945, 1215, 1701, 2835, 8505. There are 24 integers that are factors of 8505. The greatest factor of 8505 is 8505.

3. 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.

4. How to Find the LCM of 8505 and 8513?

Answer:

Least Common Multiple of 8505 and 8513 = 72403065

Step 1: Find the prime factorization of 8505

8505 = 3 x 3 x 3 x 3 x 3 x 5 x 7

Step 2: Find the prime factorization of 8513

8513 = 8513

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

LCM = 72403065 = 3 x 3 x 3 x 3 x 3 x 5 x 7 x 8513

Step 4: Therefore, the least common multiple of 8505 and 8513 is 72403065.