Least Common Multiple of 510 and 517

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 517 the smallest integer that is 263670 that is divisible by both numbers.

Least Common Multiple (LCM) of 510 and 517 is 263670.

LCM(510,517) = 263670

LCM of 510 and 517

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

LCM of:
and

Least Common Multiple of 510 and 517

LCM of 510 and 517 is 263670

Least common multiple can be found by multiplying the highest exponent prime factors of 510 and 517. First we will calculate the prime factors of 510 and 517.

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 517


11 517
47 47
1

Prime factors of 517 are 11,47. Prime factorization of 517 in exponential form is:

517 = 111×471

Now multiplying the highest exponent prime factors to calculate the LCM of 510 and 517.

LCM(510,517) = 21×31×51×111×171×471
LCM(510,517) = 263670

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 517

List of positive integer factors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Least Common Multiple of 510 and 517 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 517, than apply into the LCM equation.

GCF(510,517) = 1
LCM(510,517) = ( 510 × 517) / 1
LCM(510,517) = 263670 / 1
LCM(510,517) = 263670

Properties of LCM 510 and 517

(i) The LCM of 517 and 510 is associative

LCM of 510 and 517 = LCM of 517 and 510

Related Least Common Multiples of 510

Related Least Common Multiples of 517

Frequently Asked Questions on LCM of 510 and 517

1. What is the LCM of 510 and 517?

Answer: LCM of 510 and 517 is 263670.

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 517?

Answer: Factors of 517 are 1, 11, 47, 517. There are 4 integers that are factors of 517. The greatest factor of 517 is 517.

4. How to Find the LCM of 510 and 517?

Answer:

Least Common Multiple of 510 and 517 = 263670

Step 1: Find the prime factorization of 510

510 = 2 x 3 x 5 x 17

Step 2: Find the prime factorization of 517

517 = 11 x 47

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

LCM = 263670 = 2 x 3 x 5 x 11 x 17 x 47

Step 4: Therefore, the least common multiple of 510 and 517 is 263670.