Least Common Multiple of 5477 and 5484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5477 and 5484 the smallest integer that is 30035868 that is divisible by both numbers.

Least Common Multiple (LCM) of 5477 and 5484 is 30035868.

LCM(5477,5484) = 30035868

LCM of 5477 and 5484

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

LCM of:
and

Least Common Multiple of 5477 and 5484

LCM of 5477 and 5484 is 30035868

Least common multiple can be found by multiplying the highest exponent prime factors of 5477 and 5484. First we will calculate the prime factors of 5477 and 5484.

Prime Factorization of 5477


5477 5477
1

Prime factors of 5477 are 5477. Prime factorization of 5477 in exponential form is:

5477 = 54771

Prime Factorization of 5484


2 5484
2 2742
3 1371
457 457
1

Prime factors of 5484 are 2, 3,457. Prime factorization of 5484 in exponential form is:

5484 = 22×31×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 5477 and 5484.

LCM(5477,5484) = 22×31×4571×54771
LCM(5477,5484) = 30035868

Factors of 5477

List of positive integer factors of 5477 that divides 5477 without a remainder.

1, 5477

Factors of 5484

List of positive integer factors of 5484 that divides 5484 without a remainder.

1, 2, 3, 4, 6, 12, 457, 914, 1371, 1828, 2742, 5484

Least Common Multiple of 5477 and 5484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5477 and 5484, than apply into the LCM equation.

GCF(5477,5484) = 1
LCM(5477,5484) = ( 5477 × 5484) / 1
LCM(5477,5484) = 30035868 / 1
LCM(5477,5484) = 30035868

Properties of LCM 5477 and 5484

(i) The LCM of 5484 and 5477 is associative

LCM of 5477 and 5484 = LCM of 5484 and 5477

Related Least Common Multiples of 5477

Related Least Common Multiples of 5484

Frequently Asked Questions on LCM of 5477 and 5484

1. What is the LCM of 5477 and 5484?

Answer: LCM of 5477 and 5484 is 30035868.

2. What are the Factors of 5477?

Answer: Factors of 5477 are 1, 5477. There are 2 integers that are factors of 5477. The greatest factor of 5477 is 5477.

3. What are the Factors of 5484?

Answer: Factors of 5484 are 1, 2, 3, 4, 6, 12, 457, 914, 1371, 1828, 2742, 5484. There are 12 integers that are factors of 5484. The greatest factor of 5484 is 5484.

4. How to Find the LCM of 5477 and 5484?

Answer:

Least Common Multiple of 5477 and 5484 = 30035868

Step 1: Find the prime factorization of 5477

5477 = 5477

Step 2: Find the prime factorization of 5484

5484 = 2 x 2 x 3 x 457

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

LCM = 30035868 = 2 x 2 x 3 x 457 x 5477

Step 4: Therefore, the least common multiple of 5477 and 5484 is 30035868.