Least Common Multiple of 4477 and 4483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4477 and 4483 the smallest integer that is 20070391 that is divisible by both numbers.

Least Common Multiple (LCM) of 4477 and 4483 is 20070391.

LCM(4477,4483) = 20070391

LCM of 4477 and 4483

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

LCM of:
and

Least Common Multiple of 4477 and 4483

LCM of 4477 and 4483 is 20070391

Least common multiple can be found by multiplying the highest exponent prime factors of 4477 and 4483. First we will calculate the prime factors of 4477 and 4483.

Prime Factorization of 4477


11 4477
11 407
37 37
1

Prime factors of 4477 are 11,37. Prime factorization of 4477 in exponential form is:

4477 = 112×371

Prime Factorization of 4483


4483 4483
1

Prime factors of 4483 are 4483. Prime factorization of 4483 in exponential form is:

4483 = 44831

Now multiplying the highest exponent prime factors to calculate the LCM of 4477 and 4483.

LCM(4477,4483) = 112×371×44831
LCM(4477,4483) = 20070391

Factors of 4477

List of positive integer factors of 4477 that divides 4477 without a remainder.

1, 11, 37, 121, 407, 4477

Factors of 4483

List of positive integer factors of 4483 that divides 4483 without a remainder.

1, 4483

Least Common Multiple of 4477 and 4483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4477 and 4483, than apply into the LCM equation.

GCF(4477,4483) = 1
LCM(4477,4483) = ( 4477 × 4483) / 1
LCM(4477,4483) = 20070391 / 1
LCM(4477,4483) = 20070391

Properties of LCM 4477 and 4483

(i) The LCM of 4483 and 4477 is associative

LCM of 4477 and 4483 = LCM of 4483 and 4477

Related Least Common Multiples of 4477

Related Least Common Multiples of 4483

Frequently Asked Questions on LCM of 4477 and 4483

1. What is the LCM of 4477 and 4483?

Answer: LCM of 4477 and 4483 is 20070391.

2. What are the Factors of 4477?

Answer: Factors of 4477 are 1, 11, 37, 121, 407, 4477. There are 6 integers that are factors of 4477. The greatest factor of 4477 is 4477.

3. What are the Factors of 4483?

Answer: Factors of 4483 are 1, 4483. There are 2 integers that are factors of 4483. The greatest factor of 4483 is 4483.

4. How to Find the LCM of 4477 and 4483?

Answer:

Least Common Multiple of 4477 and 4483 = 20070391

Step 1: Find the prime factorization of 4477

4477 = 11 x 11 x 37

Step 2: Find the prime factorization of 4483

4483 = 4483

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

LCM = 20070391 = 11 x 11 x 37 x 4483

Step 4: Therefore, the least common multiple of 4477 and 4483 is 20070391.