Least Common Multiple of 498 and 503

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 503 the smallest integer that is 250494 that is divisible by both numbers.

Least Common Multiple (LCM) of 498 and 503 is 250494.

LCM(498,503) = 250494

LCM of 498 and 503

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

LCM of:
and

Least Common Multiple of 498 and 503

LCM of 498 and 503 is 250494

Least common multiple can be found by multiplying the highest exponent prime factors of 498 and 503. First we will calculate the prime factors of 498 and 503.

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 503


503 503
1

Prime factors of 503 are 503. Prime factorization of 503 in exponential form is:

503 = 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 498 and 503.

LCM(498,503) = 21×31×831×5031
LCM(498,503) = 250494

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 503

List of positive integer factors of 503 that divides 503 without a remainder.

1, 503

Least Common Multiple of 498 and 503 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 503, than apply into the LCM equation.

GCF(498,503) = 1
LCM(498,503) = ( 498 × 503) / 1
LCM(498,503) = 250494 / 1
LCM(498,503) = 250494

Properties of LCM 498 and 503

(i) The LCM of 503 and 498 is associative

LCM of 498 and 503 = LCM of 503 and 498

Related Least Common Multiples of 498

Related Least Common Multiples of 503

Frequently Asked Questions on LCM of 498 and 503

1. What is the LCM of 498 and 503?

Answer: LCM of 498 and 503 is 250494.

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 503?

Answer: Factors of 503 are 1, 503. There are 2 integers that are factors of 503. The greatest factor of 503 is 503.

4. How to Find the LCM of 498 and 503?

Answer:

Least Common Multiple of 498 and 503 = 250494

Step 1: Find the prime factorization of 498

498 = 2 x 3 x 83

Step 2: Find the prime factorization of 503

503 = 503

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

LCM = 250494 = 2 x 3 x 83 x 503

Step 4: Therefore, the least common multiple of 498 and 503 is 250494.