Least Common Multiple of 4476 and 4481

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 4481 the smallest integer that is 20056956 that is divisible by both numbers.

Least Common Multiple (LCM) of 4476 and 4481 is 20056956.

LCM(4476,4481) = 20056956

LCM of 4476 and 4481

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

LCM of:
and

Least Common Multiple of 4476 and 4481

LCM of 4476 and 4481 is 20056956

Least common multiple can be found by multiplying the highest exponent prime factors of 4476 and 4481. First we will calculate the prime factors of 4476 and 4481.

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 4481


4481 4481
1

Prime factors of 4481 are 4481. Prime factorization of 4481 in exponential form is:

4481 = 44811

Now multiplying the highest exponent prime factors to calculate the LCM of 4476 and 4481.

LCM(4476,4481) = 22×31×3731×44811
LCM(4476,4481) = 20056956

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 4481

List of positive integer factors of 4481 that divides 4481 without a remainder.

1, 4481

Least Common Multiple of 4476 and 4481 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 4481, than apply into the LCM equation.

GCF(4476,4481) = 1
LCM(4476,4481) = ( 4476 × 4481) / 1
LCM(4476,4481) = 20056956 / 1
LCM(4476,4481) = 20056956

Properties of LCM 4476 and 4481

(i) The LCM of 4481 and 4476 is associative

LCM of 4476 and 4481 = LCM of 4481 and 4476

Related Least Common Multiples of 4476

Related Least Common Multiples of 4481

Frequently Asked Questions on LCM of 4476 and 4481

1. What is the LCM of 4476 and 4481?

Answer: LCM of 4476 and 4481 is 20056956.

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 4481?

Answer: Factors of 4481 are 1, 4481. There are 2 integers that are factors of 4481. The greatest factor of 4481 is 4481.

4. How to Find the LCM of 4476 and 4481?

Answer:

Least Common Multiple of 4476 and 4481 = 20056956

Step 1: Find the prime factorization of 4476

4476 = 2 x 2 x 3 x 373

Step 2: Find the prime factorization of 4481

4481 = 4481

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

LCM = 20056956 = 2 x 2 x 3 x 373 x 4481

Step 4: Therefore, the least common multiple of 4476 and 4481 is 20056956.