Least Common Multiple of 506 and 513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 506 and 513 the smallest integer that is 259578 that is divisible by both numbers.

Least Common Multiple (LCM) of 506 and 513 is 259578.

LCM(506,513) = 259578

LCM of 506 and 513

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

LCM of:
and

Least Common Multiple of 506 and 513

LCM of 506 and 513 is 259578

Least common multiple can be found by multiplying the highest exponent prime factors of 506 and 513. First we will calculate the prime factors of 506 and 513.

Prime Factorization of 506


2 506
11 253
23 23
1

Prime factors of 506 are 2, 11,23. Prime factorization of 506 in exponential form is:

506 = 21×111×231

Prime Factorization of 513


3 513
3 171
3 57
19 19
1

Prime factors of 513 are 3,19. Prime factorization of 513 in exponential form is:

513 = 33×191

Now multiplying the highest exponent prime factors to calculate the LCM of 506 and 513.

LCM(506,513) = 21×33×111×191×231
LCM(506,513) = 259578

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Least Common Multiple of 506 and 513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 506 and 513, than apply into the LCM equation.

GCF(506,513) = 1
LCM(506,513) = ( 506 × 513) / 1
LCM(506,513) = 259578 / 1
LCM(506,513) = 259578

Properties of LCM 506 and 513

(i) The LCM of 513 and 506 is associative

LCM of 506 and 513 = LCM of 513 and 506

Related Least Common Multiples of 506

Related Least Common Multiples of 513

Frequently Asked Questions on LCM of 506 and 513

1. What is the LCM of 506 and 513?

Answer: LCM of 506 and 513 is 259578.

2. What are the Factors of 506?

Answer: Factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506. There are 8 integers that are factors of 506. The greatest factor of 506 is 506.

3. What are the Factors of 513?

Answer: Factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513. There are 8 integers that are factors of 513. The greatest factor of 513 is 513.

4. How to Find the LCM of 506 and 513?

Answer:

Least Common Multiple of 506 and 513 = 259578

Step 1: Find the prime factorization of 506

506 = 2 x 11 x 23

Step 2: Find the prime factorization of 513

513 = 3 x 3 x 3 x 19

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

LCM = 259578 = 2 x 3 x 3 x 3 x 11 x 19 x 23

Step 4: Therefore, the least common multiple of 506 and 513 is 259578.