Least Common Multiple of 499 and 502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 499 and 502 the smallest integer that is 250498 that is divisible by both numbers.

Least Common Multiple (LCM) of 499 and 502 is 250498.

LCM(499,502) = 250498

LCM of 499 and 502

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

LCM of:
and

Least Common Multiple of 499 and 502

LCM of 499 and 502 is 250498

Least common multiple can be found by multiplying the highest exponent prime factors of 499 and 502. First we will calculate the prime factors of 499 and 502.

Prime Factorization of 499


499 499
1

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

499 = 4991

Prime Factorization of 502


2 502
251 251
1

Prime factors of 502 are 2,251. Prime factorization of 502 in exponential form is:

502 = 21×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 499 and 502.

LCM(499,502) = 21×2511×4991
LCM(499,502) = 250498

Factors of 499

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

1, 499

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Least Common Multiple of 499 and 502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 499 and 502, than apply into the LCM equation.

GCF(499,502) = 1
LCM(499,502) = ( 499 × 502) / 1
LCM(499,502) = 250498 / 1
LCM(499,502) = 250498

Properties of LCM 499 and 502

(i) The LCM of 502 and 499 is associative

LCM of 499 and 502 = LCM of 502 and 499

Frequently Asked Questions on LCM of 499 and 502

1. What is the LCM of 499 and 502?

Answer: LCM of 499 and 502 is 250498.

2. 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.

3. What are the Factors of 502?

Answer: Factors of 502 are 1, 2, 251, 502. There are 4 integers that are factors of 502. The greatest factor of 502 is 502.

4. How to Find the LCM of 499 and 502?

Answer:

Least Common Multiple of 499 and 502 = 250498

Step 1: Find the prime factorization of 499

499 = 499

Step 2: Find the prime factorization of 502

502 = 2 x 251

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

LCM = 250498 = 2 x 251 x 499

Step 4: Therefore, the least common multiple of 499 and 502 is 250498.