Least Common Multiple of 8505 and 8511

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 8511 the smallest integer that is 24128685 that is divisible by both numbers.

Least Common Multiple (LCM) of 8505 and 8511 is 24128685.

LCM(8505,8511) = 24128685

LCM of 8505 and 8511

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

LCM of:
and

Least Common Multiple of 8505 and 8511

LCM of 8505 and 8511 is 24128685

Least common multiple can be found by multiplying the highest exponent prime factors of 8505 and 8511. First we will calculate the prime factors of 8505 and 8511.

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 8511


3 8511
2837 2837
1

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

8511 = 31×28371

Now multiplying the highest exponent prime factors to calculate the LCM of 8505 and 8511.

LCM(8505,8511) = 35×51×71×28371
LCM(8505,8511) = 24128685

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 8511

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

1, 3, 2837, 8511

Least Common Multiple of 8505 and 8511 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 8511, than apply into the LCM equation.

GCF(8505,8511) = 3
LCM(8505,8511) = ( 8505 × 8511) / 3
LCM(8505,8511) = 72386055 / 3
LCM(8505,8511) = 24128685

Properties of LCM 8505 and 8511

(i) The LCM of 8511 and 8505 is associative

LCM of 8505 and 8511 = LCM of 8511 and 8505

Related Least Common Multiples of 8505

Related Least Common Multiples of 8511

Frequently Asked Questions on LCM of 8505 and 8511

1. What is the LCM of 8505 and 8511?

Answer: LCM of 8505 and 8511 is 24128685.

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 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.

4. How to Find the LCM of 8505 and 8511?

Answer:

Least Common Multiple of 8505 and 8511 = 24128685

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 8511

8511 = 3 x 2837

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

LCM = 24128685 = 3 x 3 x 3 x 3 x 3 x 5 x 7 x 2837

Step 4: Therefore, the least common multiple of 8505 and 8511 is 24128685.