Least Common Multiple of 5477 and 5481

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 5481 the smallest integer that is 30019437 that is divisible by both numbers.

Least Common Multiple (LCM) of 5477 and 5481 is 30019437.

LCM(5477,5481) = 30019437

LCM of 5477 and 5481

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

LCM of:
and

Least Common Multiple of 5477 and 5481

LCM of 5477 and 5481 is 30019437

Least common multiple can be found by multiplying the highest exponent prime factors of 5477 and 5481. First we will calculate the prime factors of 5477 and 5481.

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 5481


3 5481
3 1827
3 609
7 203
29 29
1

Prime factors of 5481 are 3, 7,29. Prime factorization of 5481 in exponential form is:

5481 = 33×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 5477 and 5481.

LCM(5477,5481) = 33×71×291×54771
LCM(5477,5481) = 30019437

Factors of 5477

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

1, 5477

Factors of 5481

List of positive integer factors of 5481 that divides 5481 without a remainder.

1, 3, 7, 9, 21, 27, 29, 63, 87, 189, 203, 261, 609, 783, 1827, 5481

Least Common Multiple of 5477 and 5481 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 5481, than apply into the LCM equation.

GCF(5477,5481) = 1
LCM(5477,5481) = ( 5477 × 5481) / 1
LCM(5477,5481) = 30019437 / 1
LCM(5477,5481) = 30019437

Properties of LCM 5477 and 5481

(i) The LCM of 5481 and 5477 is associative

LCM of 5477 and 5481 = LCM of 5481 and 5477

Related Least Common Multiples of 5477

Related Least Common Multiples of 5481

Frequently Asked Questions on LCM of 5477 and 5481

1. What is the LCM of 5477 and 5481?

Answer: LCM of 5477 and 5481 is 30019437.

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 5481?

Answer: Factors of 5481 are 1, 3, 7, 9, 21, 27, 29, 63, 87, 189, 203, 261, 609, 783, 1827, 5481. There are 16 integers that are factors of 5481. The greatest factor of 5481 is 5481.

4. How to Find the LCM of 5477 and 5481?

Answer:

Least Common Multiple of 5477 and 5481 = 30019437

Step 1: Find the prime factorization of 5477

5477 = 5477

Step 2: Find the prime factorization of 5481

5481 = 3 x 3 x 3 x 7 x 29

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

LCM = 30019437 = 3 x 3 x 3 x 7 x 29 x 5477

Step 4: Therefore, the least common multiple of 5477 and 5481 is 30019437.