Least Common Multiple of 8506 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 8506 and 8512 the smallest integer that is 36201536 that is divisible by both numbers.

Least Common Multiple (LCM) of 8506 and 8512 is 36201536.

LCM(8506,8512) = 36201536

LCM of 8506 and 8512

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

LCM of:
and

Least Common Multiple of 8506 and 8512

LCM of 8506 and 8512 is 36201536

Least common multiple can be found by multiplying the highest exponent prime factors of 8506 and 8512. First we will calculate the prime factors of 8506 and 8512.

Prime Factorization of 8506


2 8506
4253 4253
1

Prime factors of 8506 are 2,4253. Prime factorization of 8506 in exponential form is:

8506 = 21×42531

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 8506 and 8512.

LCM(8506,8512) = 26×71×191×42531
LCM(8506,8512) = 36201536

Factors of 8506

List of positive integer factors of 8506 that divides 8506 without a remainder.

1, 2, 4253, 8506

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 8506 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 8506 and 8512, than apply into the LCM equation.

GCF(8506,8512) = 2
LCM(8506,8512) = ( 8506 × 8512) / 2
LCM(8506,8512) = 72403072 / 2
LCM(8506,8512) = 36201536

Properties of LCM 8506 and 8512

(i) The LCM of 8512 and 8506 is associative

LCM of 8506 and 8512 = LCM of 8512 and 8506

Related Least Common Multiples of 8506

Related Least Common Multiples of 8512

Frequently Asked Questions on LCM of 8506 and 8512

1. What is the LCM of 8506 and 8512?

Answer: LCM of 8506 and 8512 is 36201536.

2. What are the Factors of 8506?

Answer: Factors of 8506 are 1, 2, 4253, 8506. There are 4 integers that are factors of 8506. The greatest factor of 8506 is 8506.

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 8506 and 8512?

Answer:

Least Common Multiple of 8506 and 8512 = 36201536

Step 1: Find the prime factorization of 8506

8506 = 2 x 4253

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 = 36201536 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 19 x 4253

Step 4: Therefore, the least common multiple of 8506 and 8512 is 36201536.