Least Common Multiple of 500 and 502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 500 and 502 the smallest integer that is 125500 that is divisible by both numbers.

Least Common Multiple (LCM) of 500 and 502 is 125500.

LCM(500,502) = 125500

LCM of 500 and 502

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

LCM of:
and

Least Common Multiple of 500 and 502

LCM of 500 and 502 is 125500

Least common multiple can be found by multiplying the highest exponent prime factors of 500 and 502. First we will calculate the prime factors of 500 and 502.

Prime Factorization of 500


2 500
2 250
5 125
5 25
5 5
1

Prime factors of 500 are 2,5. Prime factorization of 500 in exponential form is:

500 = 22×53

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

Now multiplying the highest exponent prime factors to calculate the LCM of 500 and 502.

LCM(500,502) = 22×53×2511
LCM(500,502) = 125500

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Factors of 502

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

1, 2, 251, 502

Least Common Multiple of 500 and 502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 500 and 502, than apply into the LCM equation.

GCF(500,502) = 2
LCM(500,502) = ( 500 × 502) / 2
LCM(500,502) = 251000 / 2
LCM(500,502) = 125500

Properties of LCM 500 and 502

(i) The LCM of 502 and 500 is associative

LCM of 500 and 502 = LCM of 502 and 500

Related Least Common Multiples of 500

Related Least Common Multiples of 502

Frequently Asked Questions on LCM of 500 and 502

1. What is the LCM of 500 and 502?

Answer: LCM of 500 and 502 is 125500.

2. What are the Factors of 500?

Answer: Factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500. There are 12 integers that are factors of 500. The greatest factor of 500 is 500.

3. 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.

4. How to Find the LCM of 500 and 502?

Answer:

Least Common Multiple of 500 and 502 = 125500

Step 1: Find the prime factorization of 500

500 = 2 x 2 x 5 x 5 x 5

Step 2: Find the prime factorization of 502

502 = 2 x 251

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

LCM = 125500 = 2 x 2 x 5 x 5 x 5 x 251

Step 4: Therefore, the least common multiple of 500 and 502 is 125500.