Least Common Multiple of 506 and 512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 506 and 512 the smallest integer that is 129536 that is divisible by both numbers.

Least Common Multiple (LCM) of 506 and 512 is 129536.

LCM(506,512) = 129536

LCM of 506 and 512

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

LCM of:
and

Least Common Multiple of 506 and 512

LCM of 506 and 512 is 129536

Least common multiple can be found by multiplying the highest exponent prime factors of 506 and 512. First we will calculate the prime factors of 506 and 512.

Prime Factorization of 506


2 506
11 253
23 23
1

Prime factors of 506 are 2, 11,23. Prime factorization of 506 in exponential form is:

506 = 21×111×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 506 and 512.

LCM(506,512) = 29×111×231
LCM(506,512) = 129536

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

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

Least Common Multiple of 506 and 512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 506 and 512, than apply into the LCM equation.

GCF(506,512) = 2
LCM(506,512) = ( 506 × 512) / 2
LCM(506,512) = 259072 / 2
LCM(506,512) = 129536

Properties of LCM 506 and 512

(i) The LCM of 512 and 506 is associative

LCM of 506 and 512 = LCM of 512 and 506

Related Least Common Multiples of 506

Related Least Common Multiples of 512

Frequently Asked Questions on LCM of 506 and 512

1. What is the LCM of 506 and 512?

Answer: LCM of 506 and 512 is 129536.

2. What are the Factors of 506?

Answer: Factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506. There are 8 integers that are factors of 506. The greatest factor of 506 is 506.

3. 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.

4. How to Find the LCM of 506 and 512?

Answer:

Least Common Multiple of 506 and 512 = 129536

Step 1: Find the prime factorization of 506

506 = 2 x 11 x 23

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 129536 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 11 x 23

Step 4: Therefore, the least common multiple of 506 and 512 is 129536.