Least Common Multiple of 8510 and 8515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8510 and 8515 the smallest integer that is 14492530 that is divisible by both numbers.

Least Common Multiple (LCM) of 8510 and 8515 is 14492530.

LCM(8510,8515) = 14492530

LCM of 8510 and 8515

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

LCM of:
and

Least Common Multiple of 8510 and 8515

LCM of 8510 and 8515 is 14492530

Least common multiple can be found by multiplying the highest exponent prime factors of 8510 and 8515. First we will calculate the prime factors of 8510 and 8515.

Prime Factorization of 8510


2 8510
5 4255
23 851
37 37
1

Prime factors of 8510 are 2, 5, 23,37. Prime factorization of 8510 in exponential form is:

8510 = 21×51×231×371

Prime Factorization of 8515


5 8515
13 1703
131 131
1

Prime factors of 8515 are 5, 13,131. Prime factorization of 8515 in exponential form is:

8515 = 51×131×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 8510 and 8515.

LCM(8510,8515) = 21×51×131×231×371×1311
LCM(8510,8515) = 14492530

Factors of 8510

List of positive integer factors of 8510 that divides 8510 without a remainder.

1, 2, 5, 10, 23, 37, 46, 74, 115, 185, 230, 370, 851, 1702, 4255, 8510

Factors of 8515

List of positive integer factors of 8515 that divides 8515 without a remainder.

1, 5, 13, 65, 131, 655, 1703, 8515

Least Common Multiple of 8510 and 8515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8510 and 8515, than apply into the LCM equation.

GCF(8510,8515) = 5
LCM(8510,8515) = ( 8510 × 8515) / 5
LCM(8510,8515) = 72462650 / 5
LCM(8510,8515) = 14492530

Properties of LCM 8510 and 8515

(i) The LCM of 8515 and 8510 is associative

LCM of 8510 and 8515 = LCM of 8515 and 8510

Related Least Common Multiples of 8510

Related Least Common Multiples of 8515

Frequently Asked Questions on LCM of 8510 and 8515

1. What is the LCM of 8510 and 8515?

Answer: LCM of 8510 and 8515 is 14492530.

2. What are the Factors of 8510?

Answer: Factors of 8510 are 1, 2, 5, 10, 23, 37, 46, 74, 115, 185, 230, 370, 851, 1702, 4255, 8510. There are 16 integers that are factors of 8510. The greatest factor of 8510 is 8510.

3. What are the Factors of 8515?

Answer: Factors of 8515 are 1, 5, 13, 65, 131, 655, 1703, 8515. There are 8 integers that are factors of 8515. The greatest factor of 8515 is 8515.

4. How to Find the LCM of 8510 and 8515?

Answer:

Least Common Multiple of 8510 and 8515 = 14492530

Step 1: Find the prime factorization of 8510

8510 = 2 x 5 x 23 x 37

Step 2: Find the prime factorization of 8515

8515 = 5 x 13 x 131

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

LCM = 14492530 = 2 x 5 x 13 x 23 x 37 x 131

Step 4: Therefore, the least common multiple of 8510 and 8515 is 14492530.