Least Common Multiple of 4476 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 4476 and 4480 the smallest integer that is 5013120 that is divisible by both numbers.

Least Common Multiple (LCM) of 4476 and 4480 is 5013120.

LCM(4476,4480) = 5013120

LCM of 4476 and 4480

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

LCM of:
and

Least Common Multiple of 4476 and 4480

LCM of 4476 and 4480 is 5013120

Least common multiple can be found by multiplying the highest exponent prime factors of 4476 and 4480. First we will calculate the prime factors of 4476 and 4480.

Prime Factorization of 4476


2 4476
2 2238
3 1119
373 373
1

Prime factors of 4476 are 2, 3,373. Prime factorization of 4476 in exponential form is:

4476 = 22×31×3731

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 4476 and 4480.

LCM(4476,4480) = 27×31×51×71×3731
LCM(4476,4480) = 5013120

Factors of 4476

List of positive integer factors of 4476 that divides 4476 without a remainder.

1, 2, 3, 4, 6, 12, 373, 746, 1119, 1492, 2238, 4476

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 4476 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 4476 and 4480, than apply into the LCM equation.

GCF(4476,4480) = 4
LCM(4476,4480) = ( 4476 × 4480) / 4
LCM(4476,4480) = 20052480 / 4
LCM(4476,4480) = 5013120

Properties of LCM 4476 and 4480

(i) The LCM of 4480 and 4476 is associative

LCM of 4476 and 4480 = LCM of 4480 and 4476

Related Least Common Multiples of 4476

Related Least Common Multiples of 4480

Frequently Asked Questions on LCM of 4476 and 4480

1. What is the LCM of 4476 and 4480?

Answer: LCM of 4476 and 4480 is 5013120.

2. What are the Factors of 4476?

Answer: Factors of 4476 are 1, 2, 3, 4, 6, 12, 373, 746, 1119, 1492, 2238, 4476. There are 12 integers that are factors of 4476. The greatest factor of 4476 is 4476.

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 4476 and 4480?

Answer:

Least Common Multiple of 4476 and 4480 = 5013120

Step 1: Find the prime factorization of 4476

4476 = 2 x 2 x 3 x 373

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 = 5013120 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 373

Step 4: Therefore, the least common multiple of 4476 and 4480 is 5013120.