Least Common Multiple of 4474 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 4474 and 4480 the smallest integer that is 10021760 that is divisible by both numbers.

Least Common Multiple (LCM) of 4474 and 4480 is 10021760.

LCM(4474,4480) = 10021760

LCM of 4474 and 4480

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

LCM of:
and

Least Common Multiple of 4474 and 4480

LCM of 4474 and 4480 is 10021760

Least common multiple can be found by multiplying the highest exponent prime factors of 4474 and 4480. First we will calculate the prime factors of 4474 and 4480.

Prime Factorization of 4474


2 4474
2237 2237
1

Prime factors of 4474 are 2,2237. Prime factorization of 4474 in exponential form is:

4474 = 21×22371

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 4474 and 4480.

LCM(4474,4480) = 27×51×71×22371
LCM(4474,4480) = 10021760

Factors of 4474

List of positive integer factors of 4474 that divides 4474 without a remainder.

1, 2, 2237, 4474

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 4474 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 4474 and 4480, than apply into the LCM equation.

GCF(4474,4480) = 2
LCM(4474,4480) = ( 4474 × 4480) / 2
LCM(4474,4480) = 20043520 / 2
LCM(4474,4480) = 10021760

Properties of LCM 4474 and 4480

(i) The LCM of 4480 and 4474 is associative

LCM of 4474 and 4480 = LCM of 4480 and 4474

Related Least Common Multiples of 4474

Related Least Common Multiples of 4480

Frequently Asked Questions on LCM of 4474 and 4480

1. What is the LCM of 4474 and 4480?

Answer: LCM of 4474 and 4480 is 10021760.

2. What are the Factors of 4474?

Answer: Factors of 4474 are 1, 2, 2237, 4474. There are 4 integers that are factors of 4474. The greatest factor of 4474 is 4474.

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 4474 and 4480?

Answer:

Least Common Multiple of 4474 and 4480 = 10021760

Step 1: Find the prime factorization of 4474

4474 = 2 x 2237

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 = 10021760 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 2237

Step 4: Therefore, the least common multiple of 4474 and 4480 is 10021760.