Least Common Multiple of 4477 and 4484

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 4484 the smallest integer that is 20074868 that is divisible by both numbers.

Least Common Multiple (LCM) of 4477 and 4484 is 20074868.

LCM(4477,4484) = 20074868

LCM of 4477 and 4484

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

LCM of:
and

Least Common Multiple of 4477 and 4484

LCM of 4477 and 4484 is 20074868

Least common multiple can be found by multiplying the highest exponent prime factors of 4477 and 4484. First we will calculate the prime factors of 4477 and 4484.

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 4484


2 4484
2 2242
19 1121
59 59
1

Prime factors of 4484 are 2, 19,59. Prime factorization of 4484 in exponential form is:

4484 = 22×191×591

Now multiplying the highest exponent prime factors to calculate the LCM of 4477 and 4484.

LCM(4477,4484) = 22×112×191×371×591
LCM(4477,4484) = 20074868

Factors of 4477

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

1, 11, 37, 121, 407, 4477

Factors of 4484

List of positive integer factors of 4484 that divides 4484 without a remainder.

1, 2, 4, 19, 38, 59, 76, 118, 236, 1121, 2242, 4484

Least Common Multiple of 4477 and 4484 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 4484, than apply into the LCM equation.

GCF(4477,4484) = 1
LCM(4477,4484) = ( 4477 × 4484) / 1
LCM(4477,4484) = 20074868 / 1
LCM(4477,4484) = 20074868

Properties of LCM 4477 and 4484

(i) The LCM of 4484 and 4477 is associative

LCM of 4477 and 4484 = LCM of 4484 and 4477

Related Least Common Multiples of 4477

Related Least Common Multiples of 4484

Frequently Asked Questions on LCM of 4477 and 4484

1. What is the LCM of 4477 and 4484?

Answer: LCM of 4477 and 4484 is 20074868.

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 4484?

Answer: Factors of 4484 are 1, 2, 4, 19, 38, 59, 76, 118, 236, 1121, 2242, 4484. There are 12 integers that are factors of 4484. The greatest factor of 4484 is 4484.

4. How to Find the LCM of 4477 and 4484?

Answer:

Least Common Multiple of 4477 and 4484 = 20074868

Step 1: Find the prime factorization of 4477

4477 = 11 x 11 x 37

Step 2: Find the prime factorization of 4484

4484 = 2 x 2 x 19 x 59

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

LCM = 20074868 = 2 x 2 x 11 x 11 x 19 x 37 x 59

Step 4: Therefore, the least common multiple of 4477 and 4484 is 20074868.