Least Common Multiple of 509 and 511

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 511 the smallest integer that is 260099 that is divisible by both numbers.

Least Common Multiple (LCM) of 509 and 511 is 260099.

LCM(509,511) = 260099

LCM of 509 and 511

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

LCM of:
and

Least Common Multiple of 509 and 511

LCM of 509 and 511 is 260099

Least common multiple can be found by multiplying the highest exponent prime factors of 509 and 511. First we will calculate the prime factors of 509 and 511.

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 511


7 511
73 73
1

Prime factors of 511 are 7,73. Prime factorization of 511 in exponential form is:

511 = 71×731

Now multiplying the highest exponent prime factors to calculate the LCM of 509 and 511.

LCM(509,511) = 71×731×5091
LCM(509,511) = 260099

Factors of 509

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

1, 509

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Least Common Multiple of 509 and 511 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 511, than apply into the LCM equation.

GCF(509,511) = 1
LCM(509,511) = ( 509 × 511) / 1
LCM(509,511) = 260099 / 1
LCM(509,511) = 260099

Properties of LCM 509 and 511

(i) The LCM of 511 and 509 is associative

LCM of 509 and 511 = LCM of 511 and 509

Related Least Common Multiples of 509

Related Least Common Multiples of 511

Frequently Asked Questions on LCM of 509 and 511

1. What is the LCM of 509 and 511?

Answer: LCM of 509 and 511 is 260099.

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 511?

Answer: Factors of 511 are 1, 7, 73, 511. There are 4 integers that are factors of 511. The greatest factor of 511 is 511.

4. How to Find the LCM of 509 and 511?

Answer:

Least Common Multiple of 509 and 511 = 260099

Step 1: Find the prime factorization of 509

509 = 509

Step 2: Find the prime factorization of 511

511 = 7 x 73

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

LCM = 260099 = 7 x 73 x 509

Step 4: Therefore, the least common multiple of 509 and 511 is 260099.