Least Common Multiple of 4480 and 4488

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 4488 the smallest integer that is 2513280 that is divisible by both numbers.

Least Common Multiple (LCM) of 4480 and 4488 is 2513280.

LCM(4480,4488) = 2513280

LCM of 4480 and 4488

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

LCM of:
and

Least Common Multiple of 4480 and 4488

LCM of 4480 and 4488 is 2513280

Least common multiple can be found by multiplying the highest exponent prime factors of 4480 and 4488. First we will calculate the prime factors of 4480 and 4488.

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 4488


2 4488
2 2244
2 1122
3 561
11 187
17 17
1

Prime factors of 4488 are 2, 3, 11,17. Prime factorization of 4488 in exponential form is:

4488 = 23×31×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 4480 and 4488.

LCM(4480,4488) = 27×31×51×71×111×171
LCM(4480,4488) = 2513280

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 4488

List of positive integer factors of 4488 that divides 4488 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 17, 22, 24, 33, 34, 44, 51, 66, 68, 88, 102, 132, 136, 187, 204, 264, 374, 408, 561, 748, 1122, 1496, 2244, 4488

Least Common Multiple of 4480 and 4488 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 4488, than apply into the LCM equation.

GCF(4480,4488) = 8
LCM(4480,4488) = ( 4480 × 4488) / 8
LCM(4480,4488) = 20106240 / 8
LCM(4480,4488) = 2513280

Properties of LCM 4480 and 4488

(i) The LCM of 4488 and 4480 is associative

LCM of 4480 and 4488 = LCM of 4488 and 4480

Related Least Common Multiples of 4480

Related Least Common Multiples of 4488

Frequently Asked Questions on LCM of 4480 and 4488

1. What is the LCM of 4480 and 4488?

Answer: LCM of 4480 and 4488 is 2513280.

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 4488?

Answer: Factors of 4488 are 1, 2, 3, 4, 6, 8, 11, 12, 17, 22, 24, 33, 34, 44, 51, 66, 68, 88, 102, 132, 136, 187, 204, 264, 374, 408, 561, 748, 1122, 1496, 2244, 4488. There are 32 integers that are factors of 4488. The greatest factor of 4488 is 4488.

4. How to Find the LCM of 4480 and 4488?

Answer:

Least Common Multiple of 4480 and 4488 = 2513280

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 4488

4488 = 2 x 2 x 2 x 3 x 11 x 17

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

LCM = 2513280 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 17

Step 4: Therefore, the least common multiple of 4480 and 4488 is 2513280.