Least Common Multiple of 494 and 496

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 496 the smallest integer that is 122512 that is divisible by both numbers.

Least Common Multiple (LCM) of 494 and 496 is 122512.

LCM(494,496) = 122512

LCM of 494 and 496

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

LCM of:
and

Least Common Multiple of 494 and 496

LCM of 494 and 496 is 122512

Least common multiple can be found by multiplying the highest exponent prime factors of 494 and 496. First we will calculate the prime factors of 494 and 496.

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 496


2 496
2 248
2 124
2 62
31 31
1

Prime factors of 496 are 2,31. Prime factorization of 496 in exponential form is:

496 = 24×311

Now multiplying the highest exponent prime factors to calculate the LCM of 494 and 496.

LCM(494,496) = 24×131×191×311
LCM(494,496) = 122512

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 496

List of positive integer factors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Least Common Multiple of 494 and 496 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 496, than apply into the LCM equation.

GCF(494,496) = 2
LCM(494,496) = ( 494 × 496) / 2
LCM(494,496) = 245024 / 2
LCM(494,496) = 122512

Properties of LCM 494 and 496

(i) The LCM of 496 and 494 is associative

LCM of 494 and 496 = LCM of 496 and 494

Related Least Common Multiples of 494

Related Least Common Multiples of 496

Frequently Asked Questions on LCM of 494 and 496

1. What is the LCM of 494 and 496?

Answer: LCM of 494 and 496 is 122512.

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 496?

Answer: Factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496. There are 10 integers that are factors of 496. The greatest factor of 496 is 496.

4. How to Find the LCM of 494 and 496?

Answer:

Least Common Multiple of 494 and 496 = 122512

Step 1: Find the prime factorization of 494

494 = 2 x 13 x 19

Step 2: Find the prime factorization of 496

496 = 2 x 2 x 2 x 2 x 31

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

LCM = 122512 = 2 x 2 x 2 x 2 x 13 x 19 x 31

Step 4: Therefore, the least common multiple of 494 and 496 is 122512.