Least Common Multiple of 510 and 518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 510 and 518 the smallest integer that is 132090 that is divisible by both numbers.

Least Common Multiple (LCM) of 510 and 518 is 132090.

LCM(510,518) = 132090

LCM of 510 and 518

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

LCM of:
and

Least Common Multiple of 510 and 518

LCM of 510 and 518 is 132090

Least common multiple can be found by multiplying the highest exponent prime factors of 510 and 518. First we will calculate the prime factors of 510 and 518.

Prime Factorization of 510


2 510
3 255
5 85
17 17
1

Prime factors of 510 are 2, 3, 5,17. Prime factorization of 510 in exponential form is:

510 = 21×31×51×171

Prime Factorization of 518


2 518
7 259
37 37
1

Prime factors of 518 are 2, 7,37. Prime factorization of 518 in exponential form is:

518 = 21×71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 510 and 518.

LCM(510,518) = 21×31×51×71×171×371
LCM(510,518) = 132090

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Least Common Multiple of 510 and 518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 510 and 518, than apply into the LCM equation.

GCF(510,518) = 2
LCM(510,518) = ( 510 × 518) / 2
LCM(510,518) = 264180 / 2
LCM(510,518) = 132090

Properties of LCM 510 and 518

(i) The LCM of 518 and 510 is associative

LCM of 510 and 518 = LCM of 518 and 510

Related Least Common Multiples of 510

Related Least Common Multiples of 518

Frequently Asked Questions on LCM of 510 and 518

1. What is the LCM of 510 and 518?

Answer: LCM of 510 and 518 is 132090.

2. What are the Factors of 510?

Answer: Factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510. There are 16 integers that are factors of 510. The greatest factor of 510 is 510.

3. What are the Factors of 518?

Answer: Factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518. There are 8 integers that are factors of 518. The greatest factor of 518 is 518.

4. How to Find the LCM of 510 and 518?

Answer:

Least Common Multiple of 510 and 518 = 132090

Step 1: Find the prime factorization of 510

510 = 2 x 3 x 5 x 17

Step 2: Find the prime factorization of 518

518 = 2 x 7 x 37

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

LCM = 132090 = 2 x 3 x 5 x 7 x 17 x 37

Step 4: Therefore, the least common multiple of 510 and 518 is 132090.