Least Common Multiple of 498 and 500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 498 and 500 the smallest integer that is 124500 that is divisible by both numbers.

Least Common Multiple (LCM) of 498 and 500 is 124500.

LCM(498,500) = 124500

LCM of 498 and 500

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

LCM of:
and

Least Common Multiple of 498 and 500

LCM of 498 and 500 is 124500

Least common multiple can be found by multiplying the highest exponent prime factors of 498 and 500. First we will calculate the prime factors of 498 and 500.

Prime Factorization of 498


2 498
3 249
83 83
1

Prime factors of 498 are 2, 3,83. Prime factorization of 498 in exponential form is:

498 = 21×31×831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 498 and 500.

LCM(498,500) = 22×31×53×831
LCM(498,500) = 124500

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

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

Least Common Multiple of 498 and 500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 498 and 500, than apply into the LCM equation.

GCF(498,500) = 2
LCM(498,500) = ( 498 × 500) / 2
LCM(498,500) = 249000 / 2
LCM(498,500) = 124500

Properties of LCM 498 and 500

(i) The LCM of 500 and 498 is associative

LCM of 498 and 500 = LCM of 500 and 498

Related Least Common Multiples of 498

Related Least Common Multiples of 500

Frequently Asked Questions on LCM of 498 and 500

1. What is the LCM of 498 and 500?

Answer: LCM of 498 and 500 is 124500.

2. What are the Factors of 498?

Answer: Factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498. There are 8 integers that are factors of 498. The greatest factor of 498 is 498.

3. 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.

4. How to Find the LCM of 498 and 500?

Answer:

Least Common Multiple of 498 and 500 = 124500

Step 1: Find the prime factorization of 498

498 = 2 x 3 x 83

Step 2: Find the prime factorization of 500

500 = 2 x 2 x 5 x 5 x 5

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

LCM = 124500 = 2 x 2 x 3 x 5 x 5 x 5 x 83

Step 4: Therefore, the least common multiple of 498 and 500 is 124500.