Least Common Multiple of 492 and 493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 492 and 493 the smallest integer that is 242556 that is divisible by both numbers.

Least Common Multiple (LCM) of 492 and 493 is 242556.

LCM(492,493) = 242556

LCM of 492 and 493

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

LCM of:
and

Least Common Multiple of 492 and 493

LCM of 492 and 493 is 242556

Least common multiple can be found by multiplying the highest exponent prime factors of 492 and 493. First we will calculate the prime factors of 492 and 493.

Prime Factorization of 492


2 492
2 246
3 123
41 41
1

Prime factors of 492 are 2, 3,41. Prime factorization of 492 in exponential form is:

492 = 22×31×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 492 and 493.

LCM(492,493) = 22×31×171×291×411
LCM(492,493) = 242556

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Factors of 493

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

1, 17, 29, 493

Least Common Multiple of 492 and 493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 492 and 493, than apply into the LCM equation.

GCF(492,493) = 1
LCM(492,493) = ( 492 × 493) / 1
LCM(492,493) = 242556 / 1
LCM(492,493) = 242556

Properties of LCM 492 and 493

(i) The LCM of 493 and 492 is associative

LCM of 492 and 493 = LCM of 493 and 492

Related Least Common Multiples of 492

Related Least Common Multiples of 493

Frequently Asked Questions on LCM of 492 and 493

1. What is the LCM of 492 and 493?

Answer: LCM of 492 and 493 is 242556.

2. What are the Factors of 492?

Answer: Factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492. There are 12 integers that are factors of 492. The greatest factor of 492 is 492.

3. 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.

4. How to Find the LCM of 492 and 493?

Answer:

Least Common Multiple of 492 and 493 = 242556

Step 1: Find the prime factorization of 492

492 = 2 x 2 x 3 x 41

Step 2: Find the prime factorization of 493

493 = 17 x 29

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

LCM = 242556 = 2 x 2 x 3 x 17 x 29 x 41

Step 4: Therefore, the least common multiple of 492 and 493 is 242556.