Least Common Multiple of 507 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 507 and 513 the smallest integer that is 86697 that is divisible by both numbers.

Least Common Multiple (LCM) of 507 and 513 is 86697.

LCM(507,513) = 86697

LCM of 507 and 513

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

LCM of:
and

Least Common Multiple of 507 and 513

LCM of 507 and 513 is 86697

Least common multiple can be found by multiplying the highest exponent prime factors of 507 and 513. First we will calculate the prime factors of 507 and 513.

Prime Factorization of 507


3 507
13 169
13 13
1

Prime factors of 507 are 3,13. Prime factorization of 507 in exponential form is:

507 = 31×132

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 507 and 513.

LCM(507,513) = 33×132×191
LCM(507,513) = 86697

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

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 507 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 507 and 513, than apply into the LCM equation.

GCF(507,513) = 3
LCM(507,513) = ( 507 × 513) / 3
LCM(507,513) = 260091 / 3
LCM(507,513) = 86697

Properties of LCM 507 and 513

(i) The LCM of 513 and 507 is associative

LCM of 507 and 513 = LCM of 513 and 507

Related Least Common Multiples of 507

Related Least Common Multiples of 513

Frequently Asked Questions on LCM of 507 and 513

1. What is the LCM of 507 and 513?

Answer: LCM of 507 and 513 is 86697.

2. What are the Factors of 507?

Answer: Factors of 507 are 1, 3, 13, 39, 169, 507. There are 6 integers that are factors of 507. The greatest factor of 507 is 507.

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 507 and 513?

Answer:

Least Common Multiple of 507 and 513 = 86697

Step 1: Find the prime factorization of 507

507 = 3 x 13 x 13

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 = 86697 = 3 x 3 x 3 x 13 x 13 x 19

Step 4: Therefore, the least common multiple of 507 and 513 is 86697.