Least Common Multiple of 513 and 515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 513 and 515 the smallest integer that is 264195 that is divisible by both numbers.

Least Common Multiple (LCM) of 513 and 515 is 264195.

LCM(513,515) = 264195

LCM of 513 and 515

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

LCM of:
and

Least Common Multiple of 513 and 515

LCM of 513 and 515 is 264195

Least common multiple can be found by multiplying the highest exponent prime factors of 513 and 515. First we will calculate the prime factors of 513 and 515.

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

Prime Factorization of 515


5 515
103 103
1

Prime factors of 515 are 5,103. Prime factorization of 515 in exponential form is:

515 = 51×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 513 and 515.

LCM(513,515) = 33×51×191×1031
LCM(513,515) = 264195

Factors of 513

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

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

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Least Common Multiple of 513 and 515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 513 and 515, than apply into the LCM equation.

GCF(513,515) = 1
LCM(513,515) = ( 513 × 515) / 1
LCM(513,515) = 264195 / 1
LCM(513,515) = 264195

Properties of LCM 513 and 515

(i) The LCM of 515 and 513 is associative

LCM of 513 and 515 = LCM of 515 and 513

Related Least Common Multiples of 513

Related Least Common Multiples of 515

Frequently Asked Questions on LCM of 513 and 515

1. What is the LCM of 513 and 515?

Answer: LCM of 513 and 515 is 264195.

2. 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.

3. What are the Factors of 515?

Answer: Factors of 515 are 1, 5, 103, 515. There are 4 integers that are factors of 515. The greatest factor of 515 is 515.

4. How to Find the LCM of 513 and 515?

Answer:

Least Common Multiple of 513 and 515 = 264195

Step 1: Find the prime factorization of 513

513 = 3 x 3 x 3 x 19

Step 2: Find the prime factorization of 515

515 = 5 x 103

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

LCM = 264195 = 3 x 3 x 3 x 5 x 19 x 103

Step 4: Therefore, the least common multiple of 513 and 515 is 264195.