Least Common Multiple of 480 and 481

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 481 the smallest integer that is 230880 that is divisible by both numbers.

Least Common Multiple (LCM) of 480 and 481 is 230880.

LCM(480,481) = 230880

LCM of 480 and 481

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

LCM of:
and

Least Common Multiple of 480 and 481

LCM of 480 and 481 is 230880

Least common multiple can be found by multiplying the highest exponent prime factors of 480 and 481. First we will calculate the prime factors of 480 and 481.

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 481


13 481
37 37
1

Prime factors of 481 are 13,37. Prime factorization of 481 in exponential form is:

481 = 131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 480 and 481.

LCM(480,481) = 25×31×51×131×371
LCM(480,481) = 230880

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 481

List of positive integer factors of 481 that divides 481 without a remainder.

1, 13, 37, 481

Least Common Multiple of 480 and 481 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 481, than apply into the LCM equation.

GCF(480,481) = 1
LCM(480,481) = ( 480 × 481) / 1
LCM(480,481) = 230880 / 1
LCM(480,481) = 230880

Properties of LCM 480 and 481

(i) The LCM of 481 and 480 is associative

LCM of 480 and 481 = LCM of 481 and 480

Related Least Common Multiples of 480

Related Least Common Multiples of 481

Frequently Asked Questions on LCM of 480 and 481

1. What is the LCM of 480 and 481?

Answer: LCM of 480 and 481 is 230880.

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 481?

Answer: Factors of 481 are 1, 13, 37, 481. There are 4 integers that are factors of 481. The greatest factor of 481 is 481.

4. How to Find the LCM of 480 and 481?

Answer:

Least Common Multiple of 480 and 481 = 230880

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 481

481 = 13 x 37

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

LCM = 230880 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 37

Step 4: Therefore, the least common multiple of 480 and 481 is 230880.