Least Common Multiple of 512 and 518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 512 and 518 the smallest integer that is 132608 that is divisible by both numbers.

Least Common Multiple (LCM) of 512 and 518 is 132608.

LCM(512,518) = 132608

LCM of 512 and 518

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

LCM of:
and

Least Common Multiple of 512 and 518

LCM of 512 and 518 is 132608

Least common multiple can be found by multiplying the highest exponent prime factors of 512 and 518. First we will calculate the prime factors of 512 and 518.

Prime Factorization of 512


2 512
2 256
2 128
2 64
2 32
2 16
2 8
2 4
2 2
1

Prime factors of 512 are 2. Prime factorization of 512 in exponential form is:

512 = 29

Prime Factorization of 518


2 518
7 259
37 37
1

Prime factors of 518 are 2, 7,37. Prime factorization of 518 in exponential form is:

518 = 21×71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 512 and 518.

LCM(512,518) = 29×71×371
LCM(512,518) = 132608

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Least Common Multiple of 512 and 518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 512 and 518, than apply into the LCM equation.

GCF(512,518) = 2
LCM(512,518) = ( 512 × 518) / 2
LCM(512,518) = 265216 / 2
LCM(512,518) = 132608

Properties of LCM 512 and 518

(i) The LCM of 518 and 512 is associative

LCM of 512 and 518 = LCM of 518 and 512

Related Least Common Multiples of 512

Related Least Common Multiples of 518

Frequently Asked Questions on LCM of 512 and 518

1. What is the LCM of 512 and 518?

Answer: LCM of 512 and 518 is 132608.

2. What are the Factors of 512?

Answer: Factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512. There are 10 integers that are factors of 512. The greatest factor of 512 is 512.

3. What are the Factors of 518?

Answer: Factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518. There are 8 integers that are factors of 518. The greatest factor of 518 is 518.

4. How to Find the LCM of 512 and 518?

Answer:

Least Common Multiple of 512 and 518 = 132608

Step 1: Find the prime factorization of 512

512 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Step 2: Find the prime factorization of 518

518 = 2 x 7 x 37

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

LCM = 132608 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 37

Step 4: Therefore, the least common multiple of 512 and 518 is 132608.