Least Common Multiple of 513 and 516

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 516 the smallest integer that is 88236 that is divisible by both numbers.

Least Common Multiple (LCM) of 513 and 516 is 88236.

LCM(513,516) = 88236

LCM of 513 and 516

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

LCM of:
and

Least Common Multiple of 513 and 516

LCM of 513 and 516 is 88236

Least common multiple can be found by multiplying the highest exponent prime factors of 513 and 516. First we will calculate the prime factors of 513 and 516.

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 516


2 516
2 258
3 129
43 43
1

Prime factors of 516 are 2, 3,43. Prime factorization of 516 in exponential form is:

516 = 22×31×431

Now multiplying the highest exponent prime factors to calculate the LCM of 513 and 516.

LCM(513,516) = 22×33×191×431
LCM(513,516) = 88236

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 516

List of positive integer factors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Least Common Multiple of 513 and 516 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 516, than apply into the LCM equation.

GCF(513,516) = 3
LCM(513,516) = ( 513 × 516) / 3
LCM(513,516) = 264708 / 3
LCM(513,516) = 88236

Properties of LCM 513 and 516

(i) The LCM of 516 and 513 is associative

LCM of 513 and 516 = LCM of 516 and 513

Related Least Common Multiples of 513

Related Least Common Multiples of 516

Frequently Asked Questions on LCM of 513 and 516

1. What is the LCM of 513 and 516?

Answer: LCM of 513 and 516 is 88236.

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 516?

Answer: Factors of 516 are 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516. There are 12 integers that are factors of 516. The greatest factor of 516 is 516.

4. How to Find the LCM of 513 and 516?

Answer:

Least Common Multiple of 513 and 516 = 88236

Step 1: Find the prime factorization of 513

513 = 3 x 3 x 3 x 19

Step 2: Find the prime factorization of 516

516 = 2 x 2 x 3 x 43

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

LCM = 88236 = 2 x 2 x 3 x 3 x 3 x 19 x 43

Step 4: Therefore, the least common multiple of 513 and 516 is 88236.