Least Common Multiple of 8507 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 8507 and 8512 the smallest integer that is 72411584 that is divisible by both numbers.

Least Common Multiple (LCM) of 8507 and 8512 is 72411584.

LCM(8507,8512) = 72411584

LCM of 8507 and 8512

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

LCM of:
and

Least Common Multiple of 8507 and 8512

LCM of 8507 and 8512 is 72411584

Least common multiple can be found by multiplying the highest exponent prime factors of 8507 and 8512. First we will calculate the prime factors of 8507 and 8512.

Prime Factorization of 8507


47 8507
181 181
1

Prime factors of 8507 are 47,181. Prime factorization of 8507 in exponential form is:

8507 = 471×1811

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 8507 and 8512.

LCM(8507,8512) = 26×71×191×471×1811
LCM(8507,8512) = 72411584

Factors of 8507

List of positive integer factors of 8507 that divides 8507 without a remainder.

1, 47, 181, 8507

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 8507 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 8507 and 8512, than apply into the LCM equation.

GCF(8507,8512) = 1
LCM(8507,8512) = ( 8507 × 8512) / 1
LCM(8507,8512) = 72411584 / 1
LCM(8507,8512) = 72411584

Properties of LCM 8507 and 8512

(i) The LCM of 8512 and 8507 is associative

LCM of 8507 and 8512 = LCM of 8512 and 8507

Related Least Common Multiples of 8507

Related Least Common Multiples of 8512

Frequently Asked Questions on LCM of 8507 and 8512

1. What is the LCM of 8507 and 8512?

Answer: LCM of 8507 and 8512 is 72411584.

2. What are the Factors of 8507?

Answer: Factors of 8507 are 1, 47, 181, 8507. There are 4 integers that are factors of 8507. The greatest factor of 8507 is 8507.

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 8507 and 8512?

Answer:

Least Common Multiple of 8507 and 8512 = 72411584

Step 1: Find the prime factorization of 8507

8507 = 47 x 181

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 = 72411584 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 19 x 47 x 181

Step 4: Therefore, the least common multiple of 8507 and 8512 is 72411584.