Least Common Multiple of 509 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 509 and 514 the smallest integer that is 261626 that is divisible by both numbers.

Least Common Multiple (LCM) of 509 and 514 is 261626.

LCM(509,514) = 261626

LCM of 509 and 514

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

LCM of:
and

Least Common Multiple of 509 and 514

LCM of 509 and 514 is 261626

Least common multiple can be found by multiplying the highest exponent prime factors of 509 and 514. First we will calculate the prime factors of 509 and 514.

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 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 509 and 514.

LCM(509,514) = 21×2571×5091
LCM(509,514) = 261626

Factors of 509

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

1, 509

Factors of 514

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

1, 2, 257, 514

Least Common Multiple of 509 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 509 and 514, than apply into the LCM equation.

GCF(509,514) = 1
LCM(509,514) = ( 509 × 514) / 1
LCM(509,514) = 261626 / 1
LCM(509,514) = 261626

Properties of LCM 509 and 514

(i) The LCM of 514 and 509 is associative

LCM of 509 and 514 = LCM of 514 and 509

Related Least Common Multiples of 509

Related Least Common Multiples of 514

Frequently Asked Questions on LCM of 509 and 514

1. What is the LCM of 509 and 514?

Answer: LCM of 509 and 514 is 261626.

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 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 509 and 514?

Answer:

Least Common Multiple of 509 and 514 = 261626

Step 1: Find the prime factorization of 509

509 = 509

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 = 261626 = 2 x 257 x 509

Step 4: Therefore, the least common multiple of 509 and 514 is 261626.