Least Common Multiple of 4474 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 4474 and 4481 the smallest integer that is 20047994 that is divisible by both numbers.

Least Common Multiple (LCM) of 4474 and 4481 is 20047994.

LCM(4474,4481) = 20047994

LCM of 4474 and 4481

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

LCM of:
and

Least Common Multiple of 4474 and 4481

LCM of 4474 and 4481 is 20047994

Least common multiple can be found by multiplying the highest exponent prime factors of 4474 and 4481. First we will calculate the prime factors of 4474 and 4481.

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 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 4474 and 4481.

LCM(4474,4481) = 21×22371×44811
LCM(4474,4481) = 20047994

Factors of 4474

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

1, 2, 2237, 4474

Factors of 4481

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

1, 4481

Least Common Multiple of 4474 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 4474 and 4481, than apply into the LCM equation.

GCF(4474,4481) = 1
LCM(4474,4481) = ( 4474 × 4481) / 1
LCM(4474,4481) = 20047994 / 1
LCM(4474,4481) = 20047994

Properties of LCM 4474 and 4481

(i) The LCM of 4481 and 4474 is associative

LCM of 4474 and 4481 = LCM of 4481 and 4474

Related Least Common Multiples of 4474

Related Least Common Multiples of 4481

Frequently Asked Questions on LCM of 4474 and 4481

1. What is the LCM of 4474 and 4481?

Answer: LCM of 4474 and 4481 is 20047994.

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 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 4474 and 4481?

Answer:

Least Common Multiple of 4474 and 4481 = 20047994

Step 1: Find the prime factorization of 4474

4474 = 2 x 2237

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 = 20047994 = 2 x 2237 x 4481

Step 4: Therefore, the least common multiple of 4474 and 4481 is 20047994.