Least Common Multiple of 498 and 499

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 499 the smallest integer that is 248502 that is divisible by both numbers.

Least Common Multiple (LCM) of 498 and 499 is 248502.

LCM(498,499) = 248502

LCM of 498 and 499

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

LCM of:
and

Least Common Multiple of 498 and 499

LCM of 498 and 499 is 248502

Least common multiple can be found by multiplying the highest exponent prime factors of 498 and 499. First we will calculate the prime factors of 498 and 499.

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 499


499 499
1

Prime factors of 499 are 499. Prime factorization of 499 in exponential form is:

499 = 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 498 and 499.

LCM(498,499) = 21×31×831×4991
LCM(498,499) = 248502

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 499

List of positive integer factors of 499 that divides 499 without a remainder.

1, 499

Least Common Multiple of 498 and 499 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 499, than apply into the LCM equation.

GCF(498,499) = 1
LCM(498,499) = ( 498 × 499) / 1
LCM(498,499) = 248502 / 1
LCM(498,499) = 248502

Properties of LCM 498 and 499

(i) The LCM of 499 and 498 is associative

LCM of 498 and 499 = LCM of 499 and 498

Related Least Common Multiples of 498

Related Least Common Multiples of 499

Frequently Asked Questions on LCM of 498 and 499

1. What is the LCM of 498 and 499?

Answer: LCM of 498 and 499 is 248502.

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 499?

Answer: Factors of 499 are 1, 499. There are 2 integers that are factors of 499. The greatest factor of 499 is 499.

4. How to Find the LCM of 498 and 499?

Answer:

Least Common Multiple of 498 and 499 = 248502

Step 1: Find the prime factorization of 498

498 = 2 x 3 x 83

Step 2: Find the prime factorization of 499

499 = 499

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

LCM = 248502 = 2 x 3 x 83 x 499

Step 4: Therefore, the least common multiple of 498 and 499 is 248502.