Least Common Multiple of 4481 and 4489

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 4489 the smallest integer that is 20115209 that is divisible by both numbers.

Least Common Multiple (LCM) of 4481 and 4489 is 20115209.

LCM(4481,4489) = 20115209

LCM of 4481 and 4489

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

LCM of:
and

Least Common Multiple of 4481 and 4489

LCM of 4481 and 4489 is 20115209

Least common multiple can be found by multiplying the highest exponent prime factors of 4481 and 4489. First we will calculate the prime factors of 4481 and 4489.

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 4489


67 4489
67 67
1

Prime factors of 4489 are 67. Prime factorization of 4489 in exponential form is:

4489 = 672

Now multiplying the highest exponent prime factors to calculate the LCM of 4481 and 4489.

LCM(4481,4489) = 672×44811
LCM(4481,4489) = 20115209

Factors of 4481

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

1, 4481

Factors of 4489

List of positive integer factors of 4489 that divides 4489 without a remainder.

1, 67, 4489

Least Common Multiple of 4481 and 4489 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 4489, than apply into the LCM equation.

GCF(4481,4489) = 1
LCM(4481,4489) = ( 4481 × 4489) / 1
LCM(4481,4489) = 20115209 / 1
LCM(4481,4489) = 20115209

Properties of LCM 4481 and 4489

(i) The LCM of 4489 and 4481 is associative

LCM of 4481 and 4489 = LCM of 4489 and 4481

Related Least Common Multiples of 4481

Related Least Common Multiples of 4489

Frequently Asked Questions on LCM of 4481 and 4489

1. What is the LCM of 4481 and 4489?

Answer: LCM of 4481 and 4489 is 20115209.

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 4489?

Answer: Factors of 4489 are 1, 67, 4489. There are 3 integers that are factors of 4489. The greatest factor of 4489 is 4489.

4. How to Find the LCM of 4481 and 4489?

Answer:

Least Common Multiple of 4481 and 4489 = 20115209

Step 1: Find the prime factorization of 4481

4481 = 4481

Step 2: Find the prime factorization of 4489

4489 = 67 x 67

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

LCM = 20115209 = 67 x 67 x 4481

Step 4: Therefore, the least common multiple of 4481 and 4489 is 20115209.