Least Common Multiple of 512 and 520

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 520 the smallest integer that is 33280 that is divisible by both numbers.

Least Common Multiple (LCM) of 512 and 520 is 33280.

LCM(512,520) = 33280

LCM of 512 and 520

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

LCM of:
and

Least Common Multiple of 512 and 520

LCM of 512 and 520 is 33280

Least common multiple can be found by multiplying the highest exponent prime factors of 512 and 520. First we will calculate the prime factors of 512 and 520.

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 520


2 520
2 260
2 130
5 65
13 13
1

Prime factors of 520 are 2, 5,13. Prime factorization of 520 in exponential form is:

520 = 23×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 512 and 520.

LCM(512,520) = 29×51×131
LCM(512,520) = 33280

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 520

List of positive integer factors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Least Common Multiple of 512 and 520 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 520, than apply into the LCM equation.

GCF(512,520) = 8
LCM(512,520) = ( 512 × 520) / 8
LCM(512,520) = 266240 / 8
LCM(512,520) = 33280

Properties of LCM 512 and 520

(i) The LCM of 520 and 512 is associative

LCM of 512 and 520 = LCM of 520 and 512

Related Least Common Multiples of 512

Related Least Common Multiples of 520

Frequently Asked Questions on LCM of 512 and 520

1. What is the LCM of 512 and 520?

Answer: LCM of 512 and 520 is 33280.

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 520?

Answer: Factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520. There are 16 integers that are factors of 520. The greatest factor of 520 is 520.

4. How to Find the LCM of 512 and 520?

Answer:

Least Common Multiple of 512 and 520 = 33280

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 520

520 = 2 x 2 x 2 x 5 x 13

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

LCM = 33280 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 13

Step 4: Therefore, the least common multiple of 512 and 520 is 33280.