Least Common Multiple of 493 and 498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 493 and 498 the smallest integer that is 245514 that is divisible by both numbers.

Least Common Multiple (LCM) of 493 and 498 is 245514.

LCM(493,498) = 245514

LCM of 493 and 498

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

LCM of:
and

Least Common Multiple of 493 and 498

LCM of 493 and 498 is 245514

Least common multiple can be found by multiplying the highest exponent prime factors of 493 and 498. First we will calculate the prime factors of 493 and 498.

Prime Factorization of 493


17 493
29 29
1

Prime factors of 493 are 17,29. Prime factorization of 493 in exponential form is:

493 = 171×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 493 and 498.

LCM(493,498) = 21×31×171×291×831
LCM(493,498) = 245514

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Factors of 498

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

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

Least Common Multiple of 493 and 498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 493 and 498, than apply into the LCM equation.

GCF(493,498) = 1
LCM(493,498) = ( 493 × 498) / 1
LCM(493,498) = 245514 / 1
LCM(493,498) = 245514

Properties of LCM 493 and 498

(i) The LCM of 498 and 493 is associative

LCM of 493 and 498 = LCM of 498 and 493

Related Least Common Multiples of 493

Related Least Common Multiples of 498

Frequently Asked Questions on LCM of 493 and 498

1. What is the LCM of 493 and 498?

Answer: LCM of 493 and 498 is 245514.

2. What are the Factors of 493?

Answer: Factors of 493 are 1, 17, 29, 493. There are 4 integers that are factors of 493. The greatest factor of 493 is 493.

3. 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.

4. How to Find the LCM of 493 and 498?

Answer:

Least Common Multiple of 493 and 498 = 245514

Step 1: Find the prime factorization of 493

493 = 17 x 29

Step 2: Find the prime factorization of 498

498 = 2 x 3 x 83

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

LCM = 245514 = 2 x 3 x 17 x 29 x 83

Step 4: Therefore, the least common multiple of 493 and 498 is 245514.