Least Common Multiple of 480 and 482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 480 and 482 the smallest integer that is 115680 that is divisible by both numbers.

Least Common Multiple (LCM) of 480 and 482 is 115680.

LCM(480,482) = 115680

LCM of 480 and 482

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

LCM of:
and

Least Common Multiple of 480 and 482

LCM of 480 and 482 is 115680

Least common multiple can be found by multiplying the highest exponent prime factors of 480 and 482. First we will calculate the prime factors of 480 and 482.

Prime Factorization of 480


2 480
2 240
2 120
2 60
2 30
3 15
5 5
1

Prime factors of 480 are 2, 3,5. Prime factorization of 480 in exponential form is:

480 = 25×31×51

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

Now multiplying the highest exponent prime factors to calculate the LCM of 480 and 482.

LCM(480,482) = 25×31×51×2411
LCM(480,482) = 115680

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Factors of 482

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

1, 2, 241, 482

Least Common Multiple of 480 and 482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 480 and 482, than apply into the LCM equation.

GCF(480,482) = 2
LCM(480,482) = ( 480 × 482) / 2
LCM(480,482) = 231360 / 2
LCM(480,482) = 115680

Properties of LCM 480 and 482

(i) The LCM of 482 and 480 is associative

LCM of 480 and 482 = LCM of 482 and 480

Related Least Common Multiples of 480

Related Least Common Multiples of 482

Frequently Asked Questions on LCM of 480 and 482

1. What is the LCM of 480 and 482?

Answer: LCM of 480 and 482 is 115680.

2. What are the Factors of 480?

Answer: Factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480. There are 24 integers that are factors of 480. The greatest factor of 480 is 480.

3. 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.

4. How to Find the LCM of 480 and 482?

Answer:

Least Common Multiple of 480 and 482 = 115680

Step 1: Find the prime factorization of 480

480 = 2 x 2 x 2 x 2 x 2 x 3 x 5

Step 2: Find the prime factorization of 482

482 = 2 x 241

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

LCM = 115680 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 241

Step 4: Therefore, the least common multiple of 480 and 482 is 115680.