Least Common Multiple of 493 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 493 and 496 the smallest integer that is 244528 that is divisible by both numbers.

Least Common Multiple (LCM) of 493 and 496 is 244528.

LCM(493,496) = 244528

LCM of 493 and 496

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

LCM of:
and

Least Common Multiple of 493 and 496

LCM of 493 and 496 is 244528

Least common multiple can be found by multiplying the highest exponent prime factors of 493 and 496. First we will calculate the prime factors of 493 and 496.

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 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 493 and 496.

LCM(493,496) = 24×171×291×311
LCM(493,496) = 244528

Factors of 493

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

1, 17, 29, 493

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 493 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 493 and 496, than apply into the LCM equation.

GCF(493,496) = 1
LCM(493,496) = ( 493 × 496) / 1
LCM(493,496) = 244528 / 1
LCM(493,496) = 244528

Properties of LCM 493 and 496

(i) The LCM of 496 and 493 is associative

LCM of 493 and 496 = LCM of 496 and 493

Related Least Common Multiples of 493

Related Least Common Multiples of 496

Frequently Asked Questions on LCM of 493 and 496

1. What is the LCM of 493 and 496?

Answer: LCM of 493 and 496 is 244528.

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 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 493 and 496?

Answer:

Least Common Multiple of 493 and 496 = 244528

Step 1: Find the prime factorization of 493

493 = 17 x 29

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 = 244528 = 2 x 2 x 2 x 2 x 17 x 29 x 31

Step 4: Therefore, the least common multiple of 493 and 496 is 244528.