Least Common Multiple of 511 and 518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 511 and 518 the smallest integer that is 37814 that is divisible by both numbers.

Least Common Multiple (LCM) of 511 and 518 is 37814.

LCM(511,518) = 37814

LCM of 511 and 518

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

LCM of:
and

Least Common Multiple of 511 and 518

LCM of 511 and 518 is 37814

Least common multiple can be found by multiplying the highest exponent prime factors of 511 and 518. First we will calculate the prime factors of 511 and 518.

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

Prime Factorization of 518


2 518
7 259
37 37
1

Prime factors of 518 are 2, 7,37. Prime factorization of 518 in exponential form is:

518 = 21×71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 511 and 518.

LCM(511,518) = 21×71×371×731
LCM(511,518) = 37814

Factors of 511

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

1, 7, 73, 511

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Least Common Multiple of 511 and 518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 511 and 518, than apply into the LCM equation.

GCF(511,518) = 7
LCM(511,518) = ( 511 × 518) / 7
LCM(511,518) = 264698 / 7
LCM(511,518) = 37814

Properties of LCM 511 and 518

(i) The LCM of 518 and 511 is associative

LCM of 511 and 518 = LCM of 518 and 511

Related Least Common Multiples of 511

Related Least Common Multiples of 518

Frequently Asked Questions on LCM of 511 and 518

1. What is the LCM of 511 and 518?

Answer: LCM of 511 and 518 is 37814.

2. 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.

3. What are the Factors of 518?

Answer: Factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518. There are 8 integers that are factors of 518. The greatest factor of 518 is 518.

4. How to Find the LCM of 511 and 518?

Answer:

Least Common Multiple of 511 and 518 = 37814

Step 1: Find the prime factorization of 511

511 = 7 x 73

Step 2: Find the prime factorization of 518

518 = 2 x 7 x 37

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

LCM = 37814 = 2 x 7 x 37 x 73

Step 4: Therefore, the least common multiple of 511 and 518 is 37814.