Least Common Multiple of 482 and 484

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 484 the smallest integer that is 116644 that is divisible by both numbers.

Least Common Multiple (LCM) of 482 and 484 is 116644.

LCM(482,484) = 116644

LCM of 482 and 484

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

LCM of:
and

Least Common Multiple of 482 and 484

LCM of 482 and 484 is 116644

Least common multiple can be found by multiplying the highest exponent prime factors of 482 and 484. First we will calculate the prime factors of 482 and 484.

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 484


2 484
2 242
11 121
11 11
1

Prime factors of 484 are 2,11. Prime factorization of 484 in exponential form is:

484 = 22×112

Now multiplying the highest exponent prime factors to calculate the LCM of 482 and 484.

LCM(482,484) = 22×112×2411
LCM(482,484) = 116644

Factors of 482

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

1, 2, 241, 482

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Least Common Multiple of 482 and 484 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 484, than apply into the LCM equation.

GCF(482,484) = 2
LCM(482,484) = ( 482 × 484) / 2
LCM(482,484) = 233288 / 2
LCM(482,484) = 116644

Properties of LCM 482 and 484

(i) The LCM of 484 and 482 is associative

LCM of 482 and 484 = LCM of 484 and 482

Related Least Common Multiples of 482

Related Least Common Multiples of 484

Frequently Asked Questions on LCM of 482 and 484

1. What is the LCM of 482 and 484?

Answer: LCM of 482 and 484 is 116644.

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 484?

Answer: Factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484. There are 9 integers that are factors of 484. The greatest factor of 484 is 484.

4. How to Find the LCM of 482 and 484?

Answer:

Least Common Multiple of 482 and 484 = 116644

Step 1: Find the prime factorization of 482

482 = 2 x 241

Step 2: Find the prime factorization of 484

484 = 2 x 2 x 11 x 11

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

LCM = 116644 = 2 x 2 x 11 x 11 x 241

Step 4: Therefore, the least common multiple of 482 and 484 is 116644.