Least Common Multiple of 4481 and 4488

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 4488 the smallest integer that is 20110728 that is divisible by both numbers.

Least Common Multiple (LCM) of 4481 and 4488 is 20110728.

LCM(4481,4488) = 20110728

LCM of 4481 and 4488

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

LCM of:
and

Least Common Multiple of 4481 and 4488

LCM of 4481 and 4488 is 20110728

Least common multiple can be found by multiplying the highest exponent prime factors of 4481 and 4488. First we will calculate the prime factors of 4481 and 4488.

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 4488


2 4488
2 2244
2 1122
3 561
11 187
17 17
1

Prime factors of 4488 are 2, 3, 11,17. Prime factorization of 4488 in exponential form is:

4488 = 23×31×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 4481 and 4488.

LCM(4481,4488) = 23×31×111×171×44811
LCM(4481,4488) = 20110728

Factors of 4481

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

1, 4481

Factors of 4488

List of positive integer factors of 4488 that divides 4488 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 17, 22, 24, 33, 34, 44, 51, 66, 68, 88, 102, 132, 136, 187, 204, 264, 374, 408, 561, 748, 1122, 1496, 2244, 4488

Least Common Multiple of 4481 and 4488 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 4488, than apply into the LCM equation.

GCF(4481,4488) = 1
LCM(4481,4488) = ( 4481 × 4488) / 1
LCM(4481,4488) = 20110728 / 1
LCM(4481,4488) = 20110728

Properties of LCM 4481 and 4488

(i) The LCM of 4488 and 4481 is associative

LCM of 4481 and 4488 = LCM of 4488 and 4481

Related Least Common Multiples of 4481

Related Least Common Multiples of 4488

Frequently Asked Questions on LCM of 4481 and 4488

1. What is the LCM of 4481 and 4488?

Answer: LCM of 4481 and 4488 is 20110728.

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 4488?

Answer: Factors of 4488 are 1, 2, 3, 4, 6, 8, 11, 12, 17, 22, 24, 33, 34, 44, 51, 66, 68, 88, 102, 132, 136, 187, 204, 264, 374, 408, 561, 748, 1122, 1496, 2244, 4488. There are 32 integers that are factors of 4488. The greatest factor of 4488 is 4488.

4. How to Find the LCM of 4481 and 4488?

Answer:

Least Common Multiple of 4481 and 4488 = 20110728

Step 1: Find the prime factorization of 4481

4481 = 4481

Step 2: Find the prime factorization of 4488

4488 = 2 x 2 x 2 x 3 x 11 x 17

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

LCM = 20110728 = 2 x 2 x 2 x 3 x 11 x 17 x 4481

Step 4: Therefore, the least common multiple of 4481 and 4488 is 20110728.