Least Common Multiple of 4480 and 4485

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 4485 the smallest integer that is 4018560 that is divisible by both numbers.

Least Common Multiple (LCM) of 4480 and 4485 is 4018560.

LCM(4480,4485) = 4018560

LCM of 4480 and 4485

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

LCM of:
and

Least Common Multiple of 4480 and 4485

LCM of 4480 and 4485 is 4018560

Least common multiple can be found by multiplying the highest exponent prime factors of 4480 and 4485. First we will calculate the prime factors of 4480 and 4485.

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 4485


3 4485
5 1495
13 299
23 23
1

Prime factors of 4485 are 3, 5, 13,23. Prime factorization of 4485 in exponential form is:

4485 = 31×51×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 4480 and 4485.

LCM(4480,4485) = 27×31×51×71×131×231
LCM(4480,4485) = 4018560

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 4485

List of positive integer factors of 4485 that divides 4485 without a remainder.

1, 3, 5, 13, 15, 23, 39, 65, 69, 115, 195, 299, 345, 897, 1495, 4485

Least Common Multiple of 4480 and 4485 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 4485, than apply into the LCM equation.

GCF(4480,4485) = 5
LCM(4480,4485) = ( 4480 × 4485) / 5
LCM(4480,4485) = 20092800 / 5
LCM(4480,4485) = 4018560

Properties of LCM 4480 and 4485

(i) The LCM of 4485 and 4480 is associative

LCM of 4480 and 4485 = LCM of 4485 and 4480

Related Least Common Multiples of 4480

Related Least Common Multiples of 4485

Frequently Asked Questions on LCM of 4480 and 4485

1. What is the LCM of 4480 and 4485?

Answer: LCM of 4480 and 4485 is 4018560.

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 4485?

Answer: Factors of 4485 are 1, 3, 5, 13, 15, 23, 39, 65, 69, 115, 195, 299, 345, 897, 1495, 4485. There are 16 integers that are factors of 4485. The greatest factor of 4485 is 4485.

4. How to Find the LCM of 4480 and 4485?

Answer:

Least Common Multiple of 4480 and 4485 = 4018560

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 4485

4485 = 3 x 5 x 13 x 23

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

LCM = 4018560 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 23

Step 4: Therefore, the least common multiple of 4480 and 4485 is 4018560.