Least Common Multiple of 509 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 509 and 512 the smallest integer that is 260608 that is divisible by both numbers.

Least Common Multiple (LCM) of 509 and 512 is 260608.

LCM(509,512) = 260608

LCM of 509 and 512

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

LCM of:
and

Least Common Multiple of 509 and 512

LCM of 509 and 512 is 260608

Least common multiple can be found by multiplying the highest exponent prime factors of 509 and 512. First we will calculate the prime factors of 509 and 512.

Prime Factorization of 509


509 509
1

Prime factors of 509 are 509. Prime factorization of 509 in exponential form is:

509 = 5091

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 509 and 512.

LCM(509,512) = 29×5091
LCM(509,512) = 260608

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1, 509

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 509 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 509 and 512, than apply into the LCM equation.

GCF(509,512) = 1
LCM(509,512) = ( 509 × 512) / 1
LCM(509,512) = 260608 / 1
LCM(509,512) = 260608

Properties of LCM 509 and 512

(i) The LCM of 512 and 509 is associative

LCM of 509 and 512 = LCM of 512 and 509

Related Least Common Multiples of 509

Related Least Common Multiples of 512

Frequently Asked Questions on LCM of 509 and 512

1. What is the LCM of 509 and 512?

Answer: LCM of 509 and 512 is 260608.

2. What are the Factors of 509?

Answer: Factors of 509 are 1, 509. There are 2 integers that are factors of 509. The greatest factor of 509 is 509.

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 509 and 512?

Answer:

Least Common Multiple of 509 and 512 = 260608

Step 1: Find the prime factorization of 509

509 = 509

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 = 260608 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 509

Step 4: Therefore, the least common multiple of 509 and 512 is 260608.