Least Common Multiple of 511 and 514

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 514 the smallest integer that is 262654 that is divisible by both numbers.

Least Common Multiple (LCM) of 511 and 514 is 262654.

LCM(511,514) = 262654

LCM of 511 and 514

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

LCM of:
and

Least Common Multiple of 511 and 514

LCM of 511 and 514 is 262654

Least common multiple can be found by multiplying the highest exponent prime factors of 511 and 514. First we will calculate the prime factors of 511 and 514.

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 514


2 514
257 257
1

Prime factors of 514 are 2,257. Prime factorization of 514 in exponential form is:

514 = 21×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 511 and 514.

LCM(511,514) = 21×71×731×2571
LCM(511,514) = 262654

Factors of 511

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

1, 7, 73, 511

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Least Common Multiple of 511 and 514 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 514, than apply into the LCM equation.

GCF(511,514) = 1
LCM(511,514) = ( 511 × 514) / 1
LCM(511,514) = 262654 / 1
LCM(511,514) = 262654

Properties of LCM 511 and 514

(i) The LCM of 514 and 511 is associative

LCM of 511 and 514 = LCM of 514 and 511

Related Least Common Multiples of 511

Related Least Common Multiples of 514

Frequently Asked Questions on LCM of 511 and 514

1. What is the LCM of 511 and 514?

Answer: LCM of 511 and 514 is 262654.

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 514?

Answer: Factors of 514 are 1, 2, 257, 514. There are 4 integers that are factors of 514. The greatest factor of 514 is 514.

4. How to Find the LCM of 511 and 514?

Answer:

Least Common Multiple of 511 and 514 = 262654

Step 1: Find the prime factorization of 511

511 = 7 x 73

Step 2: Find the prime factorization of 514

514 = 2 x 257

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

LCM = 262654 = 2 x 7 x 73 x 257

Step 4: Therefore, the least common multiple of 511 and 514 is 262654.