Least Common Multiple of 4480 and 4484

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 4484 the smallest integer that is 5022080 that is divisible by both numbers.

Least Common Multiple (LCM) of 4480 and 4484 is 5022080.

LCM(4480,4484) = 5022080

LCM of 4480 and 4484

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

LCM of:
and

Least Common Multiple of 4480 and 4484

LCM of 4480 and 4484 is 5022080

Least common multiple can be found by multiplying the highest exponent prime factors of 4480 and 4484. First we will calculate the prime factors of 4480 and 4484.

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 4484


2 4484
2 2242
19 1121
59 59
1

Prime factors of 4484 are 2, 19,59. Prime factorization of 4484 in exponential form is:

4484 = 22×191×591

Now multiplying the highest exponent prime factors to calculate the LCM of 4480 and 4484.

LCM(4480,4484) = 27×51×71×191×591
LCM(4480,4484) = 5022080

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 4484

List of positive integer factors of 4484 that divides 4484 without a remainder.

1, 2, 4, 19, 38, 59, 76, 118, 236, 1121, 2242, 4484

Least Common Multiple of 4480 and 4484 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 4484, than apply into the LCM equation.

GCF(4480,4484) = 4
LCM(4480,4484) = ( 4480 × 4484) / 4
LCM(4480,4484) = 20088320 / 4
LCM(4480,4484) = 5022080

Properties of LCM 4480 and 4484

(i) The LCM of 4484 and 4480 is associative

LCM of 4480 and 4484 = LCM of 4484 and 4480

Related Least Common Multiples of 4480

Related Least Common Multiples of 4484

Frequently Asked Questions on LCM of 4480 and 4484

1. What is the LCM of 4480 and 4484?

Answer: LCM of 4480 and 4484 is 5022080.

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 4484?

Answer: Factors of 4484 are 1, 2, 4, 19, 38, 59, 76, 118, 236, 1121, 2242, 4484. There are 12 integers that are factors of 4484. The greatest factor of 4484 is 4484.

4. How to Find the LCM of 4480 and 4484?

Answer:

Least Common Multiple of 4480 and 4484 = 5022080

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 4484

4484 = 2 x 2 x 19 x 59

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

LCM = 5022080 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 19 x 59

Step 4: Therefore, the least common multiple of 4480 and 4484 is 5022080.