Least Common Multiple of 4482 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 4482 and 4487 the smallest integer that is 20110734 that is divisible by both numbers.

Least Common Multiple (LCM) of 4482 and 4487 is 20110734.

LCM(4482,4487) = 20110734

LCM of 4482 and 4487

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

LCM of:
and

Least Common Multiple of 4482 and 4487

LCM of 4482 and 4487 is 20110734

Least common multiple can be found by multiplying the highest exponent prime factors of 4482 and 4487. First we will calculate the prime factors of 4482 and 4487.

Prime Factorization of 4482


2 4482
3 2241
3 747
3 249
83 83
1

Prime factors of 4482 are 2, 3,83. Prime factorization of 4482 in exponential form is:

4482 = 21×33×831

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 4482 and 4487.

LCM(4482,4487) = 21×33×71×831×6411
LCM(4482,4487) = 20110734

Factors of 4482

List of positive integer factors of 4482 that divides 4482 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 83, 166, 249, 498, 747, 1494, 2241, 4482

Factors of 4487

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

1, 7, 641, 4487

Least Common Multiple of 4482 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 4482 and 4487, than apply into the LCM equation.

GCF(4482,4487) = 1
LCM(4482,4487) = ( 4482 × 4487) / 1
LCM(4482,4487) = 20110734 / 1
LCM(4482,4487) = 20110734

Properties of LCM 4482 and 4487

(i) The LCM of 4487 and 4482 is associative

LCM of 4482 and 4487 = LCM of 4487 and 4482

Related Least Common Multiples of 4482

Related Least Common Multiples of 4487

Frequently Asked Questions on LCM of 4482 and 4487

1. What is the LCM of 4482 and 4487?

Answer: LCM of 4482 and 4487 is 20110734.

2. What are the Factors of 4482?

Answer: Factors of 4482 are 1, 2, 3, 6, 9, 18, 27, 54, 83, 166, 249, 498, 747, 1494, 2241, 4482. There are 16 integers that are factors of 4482. The greatest factor of 4482 is 4482.

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 4482 and 4487?

Answer:

Least Common Multiple of 4482 and 4487 = 20110734

Step 1: Find the prime factorization of 4482

4482 = 2 x 3 x 3 x 3 x 83

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 = 20110734 = 2 x 3 x 3 x 3 x 7 x 83 x 641

Step 4: Therefore, the least common multiple of 4482 and 4487 is 20110734.