Least Common Multiple of 500 and 501

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 501 the smallest integer that is 250500 that is divisible by both numbers.

Least Common Multiple (LCM) of 500 and 501 is 250500.

LCM(500,501) = 250500

LCM of 500 and 501

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

LCM of:
and

Least Common Multiple of 500 and 501

LCM of 500 and 501 is 250500

Least common multiple can be found by multiplying the highest exponent prime factors of 500 and 501. First we will calculate the prime factors of 500 and 501.

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 501


3 501
167 167
1

Prime factors of 501 are 3,167. Prime factorization of 501 in exponential form is:

501 = 31×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 500 and 501.

LCM(500,501) = 22×31×53×1671
LCM(500,501) = 250500

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 501

List of positive integer factors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Least Common Multiple of 500 and 501 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 501, than apply into the LCM equation.

GCF(500,501) = 1
LCM(500,501) = ( 500 × 501) / 1
LCM(500,501) = 250500 / 1
LCM(500,501) = 250500

Properties of LCM 500 and 501

(i) The LCM of 501 and 500 is associative

LCM of 500 and 501 = LCM of 501 and 500

Related Least Common Multiples of 500

Related Least Common Multiples of 501

Frequently Asked Questions on LCM of 500 and 501

1. What is the LCM of 500 and 501?

Answer: LCM of 500 and 501 is 250500.

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 501?

Answer: Factors of 501 are 1, 3, 167, 501. There are 4 integers that are factors of 501. The greatest factor of 501 is 501.

4. How to Find the LCM of 500 and 501?

Answer:

Least Common Multiple of 500 and 501 = 250500

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 501

501 = 3 x 167

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

LCM = 250500 = 2 x 2 x 3 x 5 x 5 x 5 x 167

Step 4: Therefore, the least common multiple of 500 and 501 is 250500.