Least Common Multiple of 482 and 486

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 486 the smallest integer that is 117126 that is divisible by both numbers.

Least Common Multiple (LCM) of 482 and 486 is 117126.

LCM(482,486) = 117126

LCM of 482 and 486

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

LCM of:
and

Least Common Multiple of 482 and 486

LCM of 482 and 486 is 117126

Least common multiple can be found by multiplying the highest exponent prime factors of 482 and 486. First we will calculate the prime factors of 482 and 486.

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 486


2 486
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 486 are 2,3. Prime factorization of 486 in exponential form is:

486 = 21×35

Now multiplying the highest exponent prime factors to calculate the LCM of 482 and 486.

LCM(482,486) = 21×35×2411
LCM(482,486) = 117126

Factors of 482

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

1, 2, 241, 482

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Least Common Multiple of 482 and 486 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 486, than apply into the LCM equation.

GCF(482,486) = 2
LCM(482,486) = ( 482 × 486) / 2
LCM(482,486) = 234252 / 2
LCM(482,486) = 117126

Properties of LCM 482 and 486

(i) The LCM of 486 and 482 is associative

LCM of 482 and 486 = LCM of 486 and 482

Related Least Common Multiples of 482

Related Least Common Multiples of 486

Frequently Asked Questions on LCM of 482 and 486

1. What is the LCM of 482 and 486?

Answer: LCM of 482 and 486 is 117126.

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 486?

Answer: Factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486. There are 12 integers that are factors of 486. The greatest factor of 486 is 486.

4. How to Find the LCM of 482 and 486?

Answer:

Least Common Multiple of 482 and 486 = 117126

Step 1: Find the prime factorization of 482

482 = 2 x 241

Step 2: Find the prime factorization of 486

486 = 2 x 3 x 3 x 3 x 3 x 3

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

LCM = 117126 = 2 x 3 x 3 x 3 x 3 x 3 x 241

Step 4: Therefore, the least common multiple of 482 and 486 is 117126.