Least Common Multiple of 4481 and 4486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4481 and 4486 the smallest integer that is 20101766 that is divisible by both numbers.

Least Common Multiple (LCM) of 4481 and 4486 is 20101766.

LCM(4481,4486) = 20101766

LCM of 4481 and 4486

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

LCM of:
and

Least Common Multiple of 4481 and 4486

LCM of 4481 and 4486 is 20101766

Least common multiple can be found by multiplying the highest exponent prime factors of 4481 and 4486. First we will calculate the prime factors of 4481 and 4486.

Prime Factorization of 4481


4481 4481
1

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

4481 = 44811

Prime Factorization of 4486


2 4486
2243 2243
1

Prime factors of 4486 are 2,2243. Prime factorization of 4486 in exponential form is:

4486 = 21×22431

Now multiplying the highest exponent prime factors to calculate the LCM of 4481 and 4486.

LCM(4481,4486) = 21×22431×44811
LCM(4481,4486) = 20101766

Factors of 4481

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

1, 4481

Factors of 4486

List of positive integer factors of 4486 that divides 4486 without a remainder.

1, 2, 2243, 4486

Least Common Multiple of 4481 and 4486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4481 and 4486, than apply into the LCM equation.

GCF(4481,4486) = 1
LCM(4481,4486) = ( 4481 × 4486) / 1
LCM(4481,4486) = 20101766 / 1
LCM(4481,4486) = 20101766

Properties of LCM 4481 and 4486

(i) The LCM of 4486 and 4481 is associative

LCM of 4481 and 4486 = LCM of 4486 and 4481

Related Least Common Multiples of 4481

Related Least Common Multiples of 4486

Frequently Asked Questions on LCM of 4481 and 4486

1. What is the LCM of 4481 and 4486?

Answer: LCM of 4481 and 4486 is 20101766.

2. 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.

3. What are the Factors of 4486?

Answer: Factors of 4486 are 1, 2, 2243, 4486. There are 4 integers that are factors of 4486. The greatest factor of 4486 is 4486.

4. How to Find the LCM of 4481 and 4486?

Answer:

Least Common Multiple of 4481 and 4486 = 20101766

Step 1: Find the prime factorization of 4481

4481 = 4481

Step 2: Find the prime factorization of 4486

4486 = 2 x 2243

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

LCM = 20101766 = 2 x 2243 x 4481

Step 4: Therefore, the least common multiple of 4481 and 4486 is 20101766.