Least Common Multiple of 500 and 508

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 508 the smallest integer that is 63500 that is divisible by both numbers.

Least Common Multiple (LCM) of 500 and 508 is 63500.

LCM(500,508) = 63500

LCM of 500 and 508

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

LCM of:
and

Least Common Multiple of 500 and 508

LCM of 500 and 508 is 63500

Least common multiple can be found by multiplying the highest exponent prime factors of 500 and 508. First we will calculate the prime factors of 500 and 508.

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 508


2 508
2 254
127 127
1

Prime factors of 508 are 2,127. Prime factorization of 508 in exponential form is:

508 = 22×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 500 and 508.

LCM(500,508) = 22×53×1271
LCM(500,508) = 63500

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 508

List of positive integer factors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Least Common Multiple of 500 and 508 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 508, than apply into the LCM equation.

GCF(500,508) = 4
LCM(500,508) = ( 500 × 508) / 4
LCM(500,508) = 254000 / 4
LCM(500,508) = 63500

Properties of LCM 500 and 508

(i) The LCM of 508 and 500 is associative

LCM of 500 and 508 = LCM of 508 and 500

Related Least Common Multiples of 500

Related Least Common Multiples of 508

Frequently Asked Questions on LCM of 500 and 508

1. What is the LCM of 500 and 508?

Answer: LCM of 500 and 508 is 63500.

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 508?

Answer: Factors of 508 are 1, 2, 4, 127, 254, 508. There are 6 integers that are factors of 508. The greatest factor of 508 is 508.

4. How to Find the LCM of 500 and 508?

Answer:

Least Common Multiple of 500 and 508 = 63500

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 508

508 = 2 x 2 x 127

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

LCM = 63500 = 2 x 2 x 5 x 5 x 5 x 127

Step 4: Therefore, the least common multiple of 500 and 508 is 63500.