Least Common Multiple of 4481 and 4487

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 4487 the smallest integer that is 20106247 that is divisible by both numbers.

Least Common Multiple (LCM) of 4481 and 4487 is 20106247.

LCM(4481,4487) = 20106247

LCM of 4481 and 4487

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

LCM of:
and

Least Common Multiple of 4481 and 4487

LCM of 4481 and 4487 is 20106247

Least common multiple can be found by multiplying the highest exponent prime factors of 4481 and 4487. First we will calculate the prime factors of 4481 and 4487.

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 4487


7 4487
641 641
1

Prime factors of 4487 are 7,641. Prime factorization of 4487 in exponential form is:

4487 = 71×6411

Now multiplying the highest exponent prime factors to calculate the LCM of 4481 and 4487.

LCM(4481,4487) = 71×6411×44811
LCM(4481,4487) = 20106247

Factors of 4481

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

1, 4481

Factors of 4487

List of positive integer factors of 4487 that divides 4487 without a remainder.

1, 7, 641, 4487

Least Common Multiple of 4481 and 4487 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 4487, than apply into the LCM equation.

GCF(4481,4487) = 1
LCM(4481,4487) = ( 4481 × 4487) / 1
LCM(4481,4487) = 20106247 / 1
LCM(4481,4487) = 20106247

Properties of LCM 4481 and 4487

(i) The LCM of 4487 and 4481 is associative

LCM of 4481 and 4487 = LCM of 4487 and 4481

Related Least Common Multiples of 4481

Related Least Common Multiples of 4487

Frequently Asked Questions on LCM of 4481 and 4487

1. What is the LCM of 4481 and 4487?

Answer: LCM of 4481 and 4487 is 20106247.

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 4487?

Answer: Factors of 4487 are 1, 7, 641, 4487. There are 4 integers that are factors of 4487. The greatest factor of 4487 is 4487.

4. How to Find the LCM of 4481 and 4487?

Answer:

Least Common Multiple of 4481 and 4487 = 20106247

Step 1: Find the prime factorization of 4481

4481 = 4481

Step 2: Find the prime factorization of 4487

4487 = 7 x 641

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

LCM = 20106247 = 7 x 641 x 4481

Step 4: Therefore, the least common multiple of 4481 and 4487 is 20106247.