Least Common Multiple of 502 and 510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 502 and 510 the smallest integer that is 128010 that is divisible by both numbers.

Least Common Multiple (LCM) of 502 and 510 is 128010.

LCM(502,510) = 128010

LCM of 502 and 510

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

LCM of:
and

Least Common Multiple of 502 and 510

LCM of 502 and 510 is 128010

Least common multiple can be found by multiplying the highest exponent prime factors of 502 and 510. First we will calculate the prime factors of 502 and 510.

Prime Factorization of 502


2 502
251 251
1

Prime factors of 502 are 2,251. Prime factorization of 502 in exponential form is:

502 = 21×2511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 502 and 510.

LCM(502,510) = 21×31×51×171×2511
LCM(502,510) = 128010

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1, 2, 251, 502

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

Least Common Multiple of 502 and 510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 502 and 510, than apply into the LCM equation.

GCF(502,510) = 2
LCM(502,510) = ( 502 × 510) / 2
LCM(502,510) = 256020 / 2
LCM(502,510) = 128010

Properties of LCM 502 and 510

(i) The LCM of 510 and 502 is associative

LCM of 502 and 510 = LCM of 510 and 502

Related Least Common Multiples of 502

Related Least Common Multiples of 510

Frequently Asked Questions on LCM of 502 and 510

1. What is the LCM of 502 and 510?

Answer: LCM of 502 and 510 is 128010.

2. What are the Factors of 502?

Answer: Factors of 502 are 1, 2, 251, 502. There are 4 integers that are factors of 502. The greatest factor of 502 is 502.

3. 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.

4. How to Find the LCM of 502 and 510?

Answer:

Least Common Multiple of 502 and 510 = 128010

Step 1: Find the prime factorization of 502

502 = 2 x 251

Step 2: Find the prime factorization of 510

510 = 2 x 3 x 5 x 17

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

LCM = 128010 = 2 x 3 x 5 x 17 x 251

Step 4: Therefore, the least common multiple of 502 and 510 is 128010.