Least Common Multiple of 4480 and 4483

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 4483 the smallest integer that is 20083840 that is divisible by both numbers.

Least Common Multiple (LCM) of 4480 and 4483 is 20083840.

LCM(4480,4483) = 20083840

LCM of 4480 and 4483

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

LCM of:
and

Least Common Multiple of 4480 and 4483

LCM of 4480 and 4483 is 20083840

Least common multiple can be found by multiplying the highest exponent prime factors of 4480 and 4483. First we will calculate the prime factors of 4480 and 4483.

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 4483


4483 4483
1

Prime factors of 4483 are 4483. Prime factorization of 4483 in exponential form is:

4483 = 44831

Now multiplying the highest exponent prime factors to calculate the LCM of 4480 and 4483.

LCM(4480,4483) = 27×51×71×44831
LCM(4480,4483) = 20083840

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 4483

List of positive integer factors of 4483 that divides 4483 without a remainder.

1, 4483

Least Common Multiple of 4480 and 4483 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 4483, than apply into the LCM equation.

GCF(4480,4483) = 1
LCM(4480,4483) = ( 4480 × 4483) / 1
LCM(4480,4483) = 20083840 / 1
LCM(4480,4483) = 20083840

Properties of LCM 4480 and 4483

(i) The LCM of 4483 and 4480 is associative

LCM of 4480 and 4483 = LCM of 4483 and 4480

Related Least Common Multiples of 4480

Related Least Common Multiples of 4483

Frequently Asked Questions on LCM of 4480 and 4483

1. What is the LCM of 4480 and 4483?

Answer: LCM of 4480 and 4483 is 20083840.

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 4483?

Answer: Factors of 4483 are 1, 4483. There are 2 integers that are factors of 4483. The greatest factor of 4483 is 4483.

4. How to Find the LCM of 4480 and 4483?

Answer:

Least Common Multiple of 4480 and 4483 = 20083840

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 4483

4483 = 4483

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

LCM = 20083840 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 4483

Step 4: Therefore, the least common multiple of 4480 and 4483 is 20083840.