Least Common Multiple of 8508 and 8512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8508 and 8512 the smallest integer that is 18105024 that is divisible by both numbers.

Least Common Multiple (LCM) of 8508 and 8512 is 18105024.

LCM(8508,8512) = 18105024

LCM of 8508 and 8512

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

LCM of:
and

Least Common Multiple of 8508 and 8512

LCM of 8508 and 8512 is 18105024

Least common multiple can be found by multiplying the highest exponent prime factors of 8508 and 8512. First we will calculate the prime factors of 8508 and 8512.

Prime Factorization of 8508


2 8508
2 4254
3 2127
709 709
1

Prime factors of 8508 are 2, 3,709. Prime factorization of 8508 in exponential form is:

8508 = 22×31×7091

Prime Factorization of 8512


2 8512
2 4256
2 2128
2 1064
2 532
2 266
7 133
19 19
1

Prime factors of 8512 are 2, 7,19. Prime factorization of 8512 in exponential form is:

8512 = 26×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 8508 and 8512.

LCM(8508,8512) = 26×31×71×191×7091
LCM(8508,8512) = 18105024

Factors of 8508

List of positive integer factors of 8508 that divides 8508 without a remainder.

1, 2, 3, 4, 6, 12, 709, 1418, 2127, 2836, 4254, 8508

Factors of 8512

List of positive integer factors of 8512 that divides 8512 without a remainder.

1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 64, 76, 112, 133, 152, 224, 266, 304, 448, 532, 608, 1064, 1216, 2128, 4256, 8512

Least Common Multiple of 8508 and 8512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8508 and 8512, than apply into the LCM equation.

GCF(8508,8512) = 4
LCM(8508,8512) = ( 8508 × 8512) / 4
LCM(8508,8512) = 72420096 / 4
LCM(8508,8512) = 18105024

Properties of LCM 8508 and 8512

(i) The LCM of 8512 and 8508 is associative

LCM of 8508 and 8512 = LCM of 8512 and 8508

Related Least Common Multiples of 8508

Related Least Common Multiples of 8512

Frequently Asked Questions on LCM of 8508 and 8512

1. What is the LCM of 8508 and 8512?

Answer: LCM of 8508 and 8512 is 18105024.

2. What are the Factors of 8508?

Answer: Factors of 8508 are 1, 2, 3, 4, 6, 12, 709, 1418, 2127, 2836, 4254, 8508. There are 12 integers that are factors of 8508. The greatest factor of 8508 is 8508.

3. What are the Factors of 8512?

Answer: Factors of 8512 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 64, 76, 112, 133, 152, 224, 266, 304, 448, 532, 608, 1064, 1216, 2128, 4256, 8512. There are 28 integers that are factors of 8512. The greatest factor of 8512 is 8512.

4. How to Find the LCM of 8508 and 8512?

Answer:

Least Common Multiple of 8508 and 8512 = 18105024

Step 1: Find the prime factorization of 8508

8508 = 2 x 2 x 3 x 709

Step 2: Find the prime factorization of 8512

8512 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 19

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

LCM = 18105024 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 19 x 709

Step 4: Therefore, the least common multiple of 8508 and 8512 is 18105024.