Least Common Multiple of 509 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 509 and 516 the smallest integer that is 262644 that is divisible by both numbers.

Least Common Multiple (LCM) of 509 and 516 is 262644.

LCM(509,516) = 262644

LCM of 509 and 516

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

LCM of:
and

Least Common Multiple of 509 and 516

LCM of 509 and 516 is 262644

Least common multiple can be found by multiplying the highest exponent prime factors of 509 and 516. First we will calculate the prime factors of 509 and 516.

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 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 509 and 516.

LCM(509,516) = 22×31×431×5091
LCM(509,516) = 262644

Factors of 509

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

1, 509

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 509 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 509 and 516, than apply into the LCM equation.

GCF(509,516) = 1
LCM(509,516) = ( 509 × 516) / 1
LCM(509,516) = 262644 / 1
LCM(509,516) = 262644

Properties of LCM 509 and 516

(i) The LCM of 516 and 509 is associative

LCM of 509 and 516 = LCM of 516 and 509

Related Least Common Multiples of 509

Related Least Common Multiples of 516

Frequently Asked Questions on LCM of 509 and 516

1. What is the LCM of 509 and 516?

Answer: LCM of 509 and 516 is 262644.

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 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 509 and 516?

Answer:

Least Common Multiple of 509 and 516 = 262644

Step 1: Find the prime factorization of 509

509 = 509

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 = 262644 = 2 x 2 x 3 x 43 x 509

Step 4: Therefore, the least common multiple of 509 and 516 is 262644.