Least Common Multiple of 498 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 498 and 502 the smallest integer that is 124998 that is divisible by both numbers.

Least Common Multiple (LCM) of 498 and 502 is 124998.

LCM(498,502) = 124998

LCM of 498 and 502

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

LCM of:
and

Least Common Multiple of 498 and 502

LCM of 498 and 502 is 124998

Least common multiple can be found by multiplying the highest exponent prime factors of 498 and 502. First we will calculate the prime factors of 498 and 502.

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 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 498 and 502.

LCM(498,502) = 21×31×831×2511
LCM(498,502) = 124998

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 502

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

1, 2, 251, 502

Least Common Multiple of 498 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 498 and 502, than apply into the LCM equation.

GCF(498,502) = 2
LCM(498,502) = ( 498 × 502) / 2
LCM(498,502) = 249996 / 2
LCM(498,502) = 124998

Properties of LCM 498 and 502

(i) The LCM of 502 and 498 is associative

LCM of 498 and 502 = LCM of 502 and 498

Related Least Common Multiples of 498

Related Least Common Multiples of 502

Frequently Asked Questions on LCM of 498 and 502

1. What is the LCM of 498 and 502?

Answer: LCM of 498 and 502 is 124998.

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 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 498 and 502?

Answer:

Least Common Multiple of 498 and 502 = 124998

Step 1: Find the prime factorization of 498

498 = 2 x 3 x 83

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 = 124998 = 2 x 3 x 83 x 251

Step 4: Therefore, the least common multiple of 498 and 502 is 124998.