Least Common Multiple of 4477 and 4485

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 4485 the smallest integer that is 20079345 that is divisible by both numbers.

Least Common Multiple (LCM) of 4477 and 4485 is 20079345.

LCM(4477,4485) = 20079345

LCM of 4477 and 4485

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

LCM of:
and

Least Common Multiple of 4477 and 4485

LCM of 4477 and 4485 is 20079345

Least common multiple can be found by multiplying the highest exponent prime factors of 4477 and 4485. First we will calculate the prime factors of 4477 and 4485.

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 4485


3 4485
5 1495
13 299
23 23
1

Prime factors of 4485 are 3, 5, 13,23. Prime factorization of 4485 in exponential form is:

4485 = 31×51×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 4477 and 4485.

LCM(4477,4485) = 31×51×112×131×231×371
LCM(4477,4485) = 20079345

Factors of 4477

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

1, 11, 37, 121, 407, 4477

Factors of 4485

List of positive integer factors of 4485 that divides 4485 without a remainder.

1, 3, 5, 13, 15, 23, 39, 65, 69, 115, 195, 299, 345, 897, 1495, 4485

Least Common Multiple of 4477 and 4485 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 4485, than apply into the LCM equation.

GCF(4477,4485) = 1
LCM(4477,4485) = ( 4477 × 4485) / 1
LCM(4477,4485) = 20079345 / 1
LCM(4477,4485) = 20079345

Properties of LCM 4477 and 4485

(i) The LCM of 4485 and 4477 is associative

LCM of 4477 and 4485 = LCM of 4485 and 4477

Related Least Common Multiples of 4477

Related Least Common Multiples of 4485

Frequently Asked Questions on LCM of 4477 and 4485

1. What is the LCM of 4477 and 4485?

Answer: LCM of 4477 and 4485 is 20079345.

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 4485?

Answer: Factors of 4485 are 1, 3, 5, 13, 15, 23, 39, 65, 69, 115, 195, 299, 345, 897, 1495, 4485. There are 16 integers that are factors of 4485. The greatest factor of 4485 is 4485.

4. How to Find the LCM of 4477 and 4485?

Answer:

Least Common Multiple of 4477 and 4485 = 20079345

Step 1: Find the prime factorization of 4477

4477 = 11 x 11 x 37

Step 2: Find the prime factorization of 4485

4485 = 3 x 5 x 13 x 23

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

LCM = 20079345 = 3 x 5 x 11 x 11 x 13 x 23 x 37

Step 4: Therefore, the least common multiple of 4477 and 4485 is 20079345.