Least Common Multiple of 510 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 510 and 516 the smallest integer that is 43860 that is divisible by both numbers.

Least Common Multiple (LCM) of 510 and 516 is 43860.

LCM(510,516) = 43860

LCM of 510 and 516

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

LCM of:
and

Least Common Multiple of 510 and 516

LCM of 510 and 516 is 43860

Least common multiple can be found by multiplying the highest exponent prime factors of 510 and 516. First we will calculate the prime factors of 510 and 516.

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 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 510 and 516.

LCM(510,516) = 22×31×51×171×431
LCM(510,516) = 43860

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 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 510 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 510 and 516, than apply into the LCM equation.

GCF(510,516) = 6
LCM(510,516) = ( 510 × 516) / 6
LCM(510,516) = 263160 / 6
LCM(510,516) = 43860

Properties of LCM 510 and 516

(i) The LCM of 516 and 510 is associative

LCM of 510 and 516 = LCM of 516 and 510

Related Least Common Multiples of 510

Related Least Common Multiples of 516

Frequently Asked Questions on LCM of 510 and 516

1. What is the LCM of 510 and 516?

Answer: LCM of 510 and 516 is 43860.

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 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 510 and 516?

Answer:

Least Common Multiple of 510 and 516 = 43860

Step 1: Find the prime factorization of 510

510 = 2 x 3 x 5 x 17

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 = 43860 = 2 x 2 x 3 x 5 x 17 x 43

Step 4: Therefore, the least common multiple of 510 and 516 is 43860.