Least Common Multiple of 482 and 483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 482 and 483 the smallest integer that is 232806 that is divisible by both numbers.

Least Common Multiple (LCM) of 482 and 483 is 232806.

LCM(482,483) = 232806

LCM of 482 and 483

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

LCM of:
and

Least Common Multiple of 482 and 483

LCM of 482 and 483 is 232806

Least common multiple can be found by multiplying the highest exponent prime factors of 482 and 483. First we will calculate the prime factors of 482 and 483.

Prime Factorization of 482


2 482
241 241
1

Prime factors of 482 are 2,241. Prime factorization of 482 in exponential form is:

482 = 21×2411

Prime Factorization of 483


3 483
7 161
23 23
1

Prime factors of 483 are 3, 7,23. Prime factorization of 483 in exponential form is:

483 = 31×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 482 and 483.

LCM(482,483) = 21×31×71×231×2411
LCM(482,483) = 232806

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Least Common Multiple of 482 and 483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 482 and 483, than apply into the LCM equation.

GCF(482,483) = 1
LCM(482,483) = ( 482 × 483) / 1
LCM(482,483) = 232806 / 1
LCM(482,483) = 232806

Properties of LCM 482 and 483

(i) The LCM of 483 and 482 is associative

LCM of 482 and 483 = LCM of 483 and 482

Related Least Common Multiples of 482

Related Least Common Multiples of 483

Frequently Asked Questions on LCM of 482 and 483

1. What is the LCM of 482 and 483?

Answer: LCM of 482 and 483 is 232806.

2. What are the Factors of 482?

Answer: Factors of 482 are 1, 2, 241, 482. There are 4 integers that are factors of 482. The greatest factor of 482 is 482.

3. What are the Factors of 483?

Answer: Factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483. There are 8 integers that are factors of 483. The greatest factor of 483 is 483.

4. How to Find the LCM of 482 and 483?

Answer:

Least Common Multiple of 482 and 483 = 232806

Step 1: Find the prime factorization of 482

482 = 2 x 241

Step 2: Find the prime factorization of 483

483 = 3 x 7 x 23

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

LCM = 232806 = 2 x 3 x 7 x 23 x 241

Step 4: Therefore, the least common multiple of 482 and 483 is 232806.