Least Common Multiple of 4476 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 4476 and 4482 the smallest integer that is 3343572 that is divisible by both numbers.

Least Common Multiple (LCM) of 4476 and 4482 is 3343572.

LCM(4476,4482) = 3343572

LCM of 4476 and 4482

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

LCM of:
and

Least Common Multiple of 4476 and 4482

LCM of 4476 and 4482 is 3343572

Least common multiple can be found by multiplying the highest exponent prime factors of 4476 and 4482. First we will calculate the prime factors of 4476 and 4482.

Prime Factorization of 4476


2 4476
2 2238
3 1119
373 373
1

Prime factors of 4476 are 2, 3,373. Prime factorization of 4476 in exponential form is:

4476 = 22×31×3731

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 4476 and 4482.

LCM(4476,4482) = 22×33×831×3731
LCM(4476,4482) = 3343572

Factors of 4476

List of positive integer factors of 4476 that divides 4476 without a remainder.

1, 2, 3, 4, 6, 12, 373, 746, 1119, 1492, 2238, 4476

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 4476 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 4476 and 4482, than apply into the LCM equation.

GCF(4476,4482) = 6
LCM(4476,4482) = ( 4476 × 4482) / 6
LCM(4476,4482) = 20061432 / 6
LCM(4476,4482) = 3343572

Properties of LCM 4476 and 4482

(i) The LCM of 4482 and 4476 is associative

LCM of 4476 and 4482 = LCM of 4482 and 4476

Related Least Common Multiples of 4476

Related Least Common Multiples of 4482

Frequently Asked Questions on LCM of 4476 and 4482

1. What is the LCM of 4476 and 4482?

Answer: LCM of 4476 and 4482 is 3343572.

2. What are the Factors of 4476?

Answer: Factors of 4476 are 1, 2, 3, 4, 6, 12, 373, 746, 1119, 1492, 2238, 4476. There are 12 integers that are factors of 4476. The greatest factor of 4476 is 4476.

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 4476 and 4482?

Answer:

Least Common Multiple of 4476 and 4482 = 3343572

Step 1: Find the prime factorization of 4476

4476 = 2 x 2 x 3 x 373

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 = 3343572 = 2 x 2 x 3 x 3 x 3 x 83 x 373

Step 4: Therefore, the least common multiple of 4476 and 4482 is 3343572.