Least Common Multiple of 4474 and 4482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4474 and 4482 the smallest integer that is 10026234 that is divisible by both numbers.

Least Common Multiple (LCM) of 4474 and 4482 is 10026234.

LCM(4474,4482) = 10026234

LCM of 4474 and 4482

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

LCM of:
and

Least Common Multiple of 4474 and 4482

LCM of 4474 and 4482 is 10026234

Least common multiple can be found by multiplying the highest exponent prime factors of 4474 and 4482. First we will calculate the prime factors of 4474 and 4482.

Prime Factorization of 4474


2 4474
2237 2237
1

Prime factors of 4474 are 2,2237. Prime factorization of 4474 in exponential form is:

4474 = 21×22371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4474 and 4482.

LCM(4474,4482) = 21×33×831×22371
LCM(4474,4482) = 10026234

Factors of 4474

List of positive integer factors of 4474 that divides 4474 without a remainder.

1, 2, 2237, 4474

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

Least Common Multiple of 4474 and 4482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4474 and 4482, than apply into the LCM equation.

GCF(4474,4482) = 2
LCM(4474,4482) = ( 4474 × 4482) / 2
LCM(4474,4482) = 20052468 / 2
LCM(4474,4482) = 10026234

Properties of LCM 4474 and 4482

(i) The LCM of 4482 and 4474 is associative

LCM of 4474 and 4482 = LCM of 4482 and 4474

Related Least Common Multiples of 4474

Related Least Common Multiples of 4482

Frequently Asked Questions on LCM of 4474 and 4482

1. What is the LCM of 4474 and 4482?

Answer: LCM of 4474 and 4482 is 10026234.

2. What are the Factors of 4474?

Answer: Factors of 4474 are 1, 2, 2237, 4474. There are 4 integers that are factors of 4474. The greatest factor of 4474 is 4474.

3. 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.

4. How to Find the LCM of 4474 and 4482?

Answer:

Least Common Multiple of 4474 and 4482 = 10026234

Step 1: Find the prime factorization of 4474

4474 = 2 x 2237

Step 2: Find the prime factorization of 4482

4482 = 2 x 3 x 3 x 3 x 83

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

LCM = 10026234 = 2 x 3 x 3 x 3 x 83 x 2237

Step 4: Therefore, the least common multiple of 4474 and 4482 is 10026234.