Least Common Multiple of 5476 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 5476 and 5481 the smallest integer that is 30013956 that is divisible by both numbers.

Least Common Multiple (LCM) of 5476 and 5481 is 30013956.

LCM(5476,5481) = 30013956

LCM of 5476 and 5481

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

LCM of:
and

Least Common Multiple of 5476 and 5481

LCM of 5476 and 5481 is 30013956

Least common multiple can be found by multiplying the highest exponent prime factors of 5476 and 5481. First we will calculate the prime factors of 5476 and 5481.

Prime Factorization of 5476


2 5476
2 2738
37 1369
37 37
1

Prime factors of 5476 are 2,37. Prime factorization of 5476 in exponential form is:

5476 = 22×372

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 5476 and 5481.

LCM(5476,5481) = 22×33×71×291×372
LCM(5476,5481) = 30013956

Factors of 5476

List of positive integer factors of 5476 that divides 5476 without a remainder.

1, 2, 4, 37, 74, 148, 1369, 2738, 5476

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 5476 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 5476 and 5481, than apply into the LCM equation.

GCF(5476,5481) = 1
LCM(5476,5481) = ( 5476 × 5481) / 1
LCM(5476,5481) = 30013956 / 1
LCM(5476,5481) = 30013956

Properties of LCM 5476 and 5481

(i) The LCM of 5481 and 5476 is associative

LCM of 5476 and 5481 = LCM of 5481 and 5476

Related Least Common Multiples of 5476

Related Least Common Multiples of 5481

Frequently Asked Questions on LCM of 5476 and 5481

1. What is the LCM of 5476 and 5481?

Answer: LCM of 5476 and 5481 is 30013956.

2. What are the Factors of 5476?

Answer: Factors of 5476 are 1, 2, 4, 37, 74, 148, 1369, 2738, 5476. There are 9 integers that are factors of 5476. The greatest factor of 5476 is 5476.

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 5476 and 5481?

Answer:

Least Common Multiple of 5476 and 5481 = 30013956

Step 1: Find the prime factorization of 5476

5476 = 2 x 2 x 37 x 37

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 = 30013956 = 2 x 2 x 3 x 3 x 3 x 7 x 29 x 37 x 37

Step 4: Therefore, the least common multiple of 5476 and 5481 is 30013956.