Least Common Multiple of 4480 and 4482

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 4482 the smallest integer that is 10039680 that is divisible by both numbers.

Least Common Multiple (LCM) of 4480 and 4482 is 10039680.

LCM(4480,4482) = 10039680

LCM of 4480 and 4482

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

LCM of:
and

Least Common Multiple of 4480 and 4482

LCM of 4480 and 4482 is 10039680

Least common multiple can be found by multiplying the highest exponent prime factors of 4480 and 4482. First we will calculate the prime factors of 4480 and 4482.

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 4482


2 4482
3 2241
3 747
3 249
83 83
1

Prime factors of 4482 are 2, 3,83. Prime factorization of 4482 in exponential form is:

4482 = 21×33×831

Now multiplying the highest exponent prime factors to calculate the LCM of 4480 and 4482.

LCM(4480,4482) = 27×33×51×71×831
LCM(4480,4482) = 10039680

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 4482

List of positive integer factors of 4482 that divides 4482 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 83, 166, 249, 498, 747, 1494, 2241, 4482

Least Common Multiple of 4480 and 4482 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 4482, than apply into the LCM equation.

GCF(4480,4482) = 2
LCM(4480,4482) = ( 4480 × 4482) / 2
LCM(4480,4482) = 20079360 / 2
LCM(4480,4482) = 10039680

Properties of LCM 4480 and 4482

(i) The LCM of 4482 and 4480 is associative

LCM of 4480 and 4482 = LCM of 4482 and 4480

Related Least Common Multiples of 4480

Related Least Common Multiples of 4482

Frequently Asked Questions on LCM of 4480 and 4482

1. What is the LCM of 4480 and 4482?

Answer: LCM of 4480 and 4482 is 10039680.

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 4482?

Answer: Factors of 4482 are 1, 2, 3, 6, 9, 18, 27, 54, 83, 166, 249, 498, 747, 1494, 2241, 4482. There are 16 integers that are factors of 4482. The greatest factor of 4482 is 4482.

4. How to Find the LCM of 4480 and 4482?

Answer:

Least Common Multiple of 4480 and 4482 = 10039680

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 4482

4482 = 2 x 3 x 3 x 3 x 83

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

LCM = 10039680 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 83

Step 4: Therefore, the least common multiple of 4480 and 4482 is 10039680.