Least Common Multiple of 4480 and 4481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4480 and 4481 the smallest integer that is 20074880 that is divisible by both numbers.

Least Common Multiple (LCM) of 4480 and 4481 is 20074880.

LCM(4480,4481) = 20074880

LCM of 4480 and 4481

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

LCM of:
and

Least Common Multiple of 4480 and 4481

LCM of 4480 and 4481 is 20074880

Least common multiple can be found by multiplying the highest exponent prime factors of 4480 and 4481. First we will calculate the prime factors of 4480 and 4481.

Prime Factorization of 4480


2 4480
2 2240
2 1120
2 560
2 280
2 140
2 70
5 35
7 7
1

Prime factors of 4480 are 2, 5,7. Prime factorization of 4480 in exponential form is:

4480 = 27×51×71

Prime Factorization of 4481


4481 4481
1

Prime factors of 4481 are 4481. Prime factorization of 4481 in exponential form is:

4481 = 44811

Now multiplying the highest exponent prime factors to calculate the LCM of 4480 and 4481.

LCM(4480,4481) = 27×51×71×44811
LCM(4480,4481) = 20074880

Factors of 4480

List of positive integer factors of 4480 that divides 4480 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 280, 320, 448, 560, 640, 896, 1120, 2240, 4480

Factors of 4481

List of positive integer factors of 4481 that divides 4481 without a remainder.

1, 4481

Least Common Multiple of 4480 and 4481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4480 and 4481, than apply into the LCM equation.

GCF(4480,4481) = 1
LCM(4480,4481) = ( 4480 × 4481) / 1
LCM(4480,4481) = 20074880 / 1
LCM(4480,4481) = 20074880

Properties of LCM 4480 and 4481

(i) The LCM of 4481 and 4480 is associative

LCM of 4480 and 4481 = LCM of 4481 and 4480

Related Least Common Multiples of 4480

Related Least Common Multiples of 4481

Frequently Asked Questions on LCM of 4480 and 4481

1. What is the LCM of 4480 and 4481?

Answer: LCM of 4480 and 4481 is 20074880.

2. What are the Factors of 4480?

Answer: Factors of 4480 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 280, 320, 448, 560, 640, 896, 1120, 2240, 4480. There are 32 integers that are factors of 4480. The greatest factor of 4480 is 4480.

3. What are the Factors of 4481?

Answer: Factors of 4481 are 1, 4481. There are 2 integers that are factors of 4481. The greatest factor of 4481 is 4481.

4. How to Find the LCM of 4480 and 4481?

Answer:

Least Common Multiple of 4480 and 4481 = 20074880

Step 1: Find the prime factorization of 4480

4480 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 4481

4481 = 4481

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

LCM = 20074880 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 4481

Step 4: Therefore, the least common multiple of 4480 and 4481 is 20074880.