Least Common Multiple of 8511 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 8511 and 8515 the smallest integer that is 72471165 that is divisible by both numbers.

Least Common Multiple (LCM) of 8511 and 8515 is 72471165.

LCM(8511,8515) = 72471165

LCM of 8511 and 8515

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

LCM of:
and

Least Common Multiple of 8511 and 8515

LCM of 8511 and 8515 is 72471165

Least common multiple can be found by multiplying the highest exponent prime factors of 8511 and 8515. First we will calculate the prime factors of 8511 and 8515.

Prime Factorization of 8511


3 8511
2837 2837
1

Prime factors of 8511 are 3,2837. Prime factorization of 8511 in exponential form is:

8511 = 31×28371

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 8511 and 8515.

LCM(8511,8515) = 31×51×131×1311×28371
LCM(8511,8515) = 72471165

Factors of 8511

List of positive integer factors of 8511 that divides 8511 without a remainder.

1, 3, 2837, 8511

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 8511 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 8511 and 8515, than apply into the LCM equation.

GCF(8511,8515) = 1
LCM(8511,8515) = ( 8511 × 8515) / 1
LCM(8511,8515) = 72471165 / 1
LCM(8511,8515) = 72471165

Properties of LCM 8511 and 8515

(i) The LCM of 8515 and 8511 is associative

LCM of 8511 and 8515 = LCM of 8515 and 8511

Related Least Common Multiples of 8511

Related Least Common Multiples of 8515

Frequently Asked Questions on LCM of 8511 and 8515

1. What is the LCM of 8511 and 8515?

Answer: LCM of 8511 and 8515 is 72471165.

2. What are the Factors of 8511?

Answer: Factors of 8511 are 1, 3, 2837, 8511. There are 4 integers that are factors of 8511. The greatest factor of 8511 is 8511.

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 8511 and 8515?

Answer:

Least Common Multiple of 8511 and 8515 = 72471165

Step 1: Find the prime factorization of 8511

8511 = 3 x 2837

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 = 72471165 = 3 x 5 x 13 x 131 x 2837

Step 4: Therefore, the least common multiple of 8511 and 8515 is 72471165.