Least Common Multiple of 512 and 516

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 516 the smallest integer that is 66048 that is divisible by both numbers.

Least Common Multiple (LCM) of 512 and 516 is 66048.

LCM(512,516) = 66048

LCM of 512 and 516

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

LCM of:
and

Least Common Multiple of 512 and 516

LCM of 512 and 516 is 66048

Least common multiple can be found by multiplying the highest exponent prime factors of 512 and 516. First we will calculate the prime factors of 512 and 516.

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 516


2 516
2 258
3 129
43 43
1

Prime factors of 516 are 2, 3,43. Prime factorization of 516 in exponential form is:

516 = 22×31×431

Now multiplying the highest exponent prime factors to calculate the LCM of 512 and 516.

LCM(512,516) = 29×31×431
LCM(512,516) = 66048

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 516

List of positive integer factors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Least Common Multiple of 512 and 516 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 516, than apply into the LCM equation.

GCF(512,516) = 4
LCM(512,516) = ( 512 × 516) / 4
LCM(512,516) = 264192 / 4
LCM(512,516) = 66048

Properties of LCM 512 and 516

(i) The LCM of 516 and 512 is associative

LCM of 512 and 516 = LCM of 516 and 512

Related Least Common Multiples of 512

Related Least Common Multiples of 516

Frequently Asked Questions on LCM of 512 and 516

1. What is the LCM of 512 and 516?

Answer: LCM of 512 and 516 is 66048.

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 516?

Answer: Factors of 516 are 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516. There are 12 integers that are factors of 516. The greatest factor of 516 is 516.

4. How to Find the LCM of 512 and 516?

Answer:

Least Common Multiple of 512 and 516 = 66048

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 516

516 = 2 x 2 x 3 x 43

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

LCM = 66048 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 43

Step 4: Therefore, the least common multiple of 512 and 516 is 66048.