Least Common Multiple of 494 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 494 and 502 the smallest integer that is 123994 that is divisible by both numbers.

Least Common Multiple (LCM) of 494 and 502 is 123994.

LCM(494,502) = 123994

LCM of 494 and 502

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

LCM of:
and

Least Common Multiple of 494 and 502

LCM of 494 and 502 is 123994

Least common multiple can be found by multiplying the highest exponent prime factors of 494 and 502. First we will calculate the prime factors of 494 and 502.

Prime Factorization of 494


2 494
13 247
19 19
1

Prime factors of 494 are 2, 13,19. Prime factorization of 494 in exponential form is:

494 = 21×131×191

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 494 and 502.

LCM(494,502) = 21×131×191×2511
LCM(494,502) = 123994

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Factors of 502

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

1, 2, 251, 502

Least Common Multiple of 494 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 494 and 502, than apply into the LCM equation.

GCF(494,502) = 2
LCM(494,502) = ( 494 × 502) / 2
LCM(494,502) = 247988 / 2
LCM(494,502) = 123994

Properties of LCM 494 and 502

(i) The LCM of 502 and 494 is associative

LCM of 494 and 502 = LCM of 502 and 494

Related Least Common Multiples of 494

Related Least Common Multiples of 502

Frequently Asked Questions on LCM of 494 and 502

1. What is the LCM of 494 and 502?

Answer: LCM of 494 and 502 is 123994.

2. What are the Factors of 494?

Answer: Factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494. There are 8 integers that are factors of 494. The greatest factor of 494 is 494.

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 494 and 502?

Answer:

Least Common Multiple of 494 and 502 = 123994

Step 1: Find the prime factorization of 494

494 = 2 x 13 x 19

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 = 123994 = 2 x 13 x 19 x 251

Step 4: Therefore, the least common multiple of 494 and 502 is 123994.