Least Common Multiple of 4477 and 4480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4477 and 4480 the smallest integer that is 20056960 that is divisible by both numbers.

Least Common Multiple (LCM) of 4477 and 4480 is 20056960.

LCM(4477,4480) = 20056960

LCM of 4477 and 4480

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

LCM of:
and

Least Common Multiple of 4477 and 4480

LCM of 4477 and 4480 is 20056960

Least common multiple can be found by multiplying the highest exponent prime factors of 4477 and 4480. First we will calculate the prime factors of 4477 and 4480.

Prime Factorization of 4477


11 4477
11 407
37 37
1

Prime factors of 4477 are 11,37. Prime factorization of 4477 in exponential form is:

4477 = 112×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4477 and 4480.

LCM(4477,4480) = 27×51×71×112×371
LCM(4477,4480) = 20056960

Factors of 4477

List of positive integer factors of 4477 that divides 4477 without a remainder.

1, 11, 37, 121, 407, 4477

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

Least Common Multiple of 4477 and 4480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4477 and 4480, than apply into the LCM equation.

GCF(4477,4480) = 1
LCM(4477,4480) = ( 4477 × 4480) / 1
LCM(4477,4480) = 20056960 / 1
LCM(4477,4480) = 20056960

Properties of LCM 4477 and 4480

(i) The LCM of 4480 and 4477 is associative

LCM of 4477 and 4480 = LCM of 4480 and 4477

Related Least Common Multiples of 4477

Related Least Common Multiples of 4480

Frequently Asked Questions on LCM of 4477 and 4480

1. What is the LCM of 4477 and 4480?

Answer: LCM of 4477 and 4480 is 20056960.

2. What are the Factors of 4477?

Answer: Factors of 4477 are 1, 11, 37, 121, 407, 4477. There are 6 integers that are factors of 4477. The greatest factor of 4477 is 4477.

3. 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.

4. How to Find the LCM of 4477 and 4480?

Answer:

Least Common Multiple of 4477 and 4480 = 20056960

Step 1: Find the prime factorization of 4477

4477 = 11 x 11 x 37

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 20056960 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 11 x 11 x 37

Step 4: Therefore, the least common multiple of 4477 and 4480 is 20056960.