Least Common Multiple of 5481 and 5488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5481 and 5488 the smallest integer that is 4297104 that is divisible by both numbers.

Least Common Multiple (LCM) of 5481 and 5488 is 4297104.

LCM(5481,5488) = 4297104

LCM of 5481 and 5488

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

LCM of:
and

Least Common Multiple of 5481 and 5488

LCM of 5481 and 5488 is 4297104

Least common multiple can be found by multiplying the highest exponent prime factors of 5481 and 5488. First we will calculate the prime factors of 5481 and 5488.

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

Prime Factorization of 5488


2 5488
2 2744
2 1372
2 686
7 343
7 49
7 7
1

Prime factors of 5488 are 2,7. Prime factorization of 5488 in exponential form is:

5488 = 24×73

Now multiplying the highest exponent prime factors to calculate the LCM of 5481 and 5488.

LCM(5481,5488) = 24×33×73×291
LCM(5481,5488) = 4297104

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

Factors of 5488

List of positive integer factors of 5488 that divides 5488 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2744, 5488

Least Common Multiple of 5481 and 5488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5481 and 5488, than apply into the LCM equation.

GCF(5481,5488) = 7
LCM(5481,5488) = ( 5481 × 5488) / 7
LCM(5481,5488) = 30079728 / 7
LCM(5481,5488) = 4297104

Properties of LCM 5481 and 5488

(i) The LCM of 5488 and 5481 is associative

LCM of 5481 and 5488 = LCM of 5488 and 5481

Related Least Common Multiples of 5481

Related Least Common Multiples of 5488

Frequently Asked Questions on LCM of 5481 and 5488

1. What is the LCM of 5481 and 5488?

Answer: LCM of 5481 and 5488 is 4297104.

2. 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.

3. What are the Factors of 5488?

Answer: Factors of 5488 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2744, 5488. There are 20 integers that are factors of 5488. The greatest factor of 5488 is 5488.

4. How to Find the LCM of 5481 and 5488?

Answer:

Least Common Multiple of 5481 and 5488 = 4297104

Step 1: Find the prime factorization of 5481

5481 = 3 x 3 x 3 x 7 x 29

Step 2: Find the prime factorization of 5488

5488 = 2 x 2 x 2 x 2 x 7 x 7 x 7

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

LCM = 4297104 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 7 x 29

Step 4: Therefore, the least common multiple of 5481 and 5488 is 4297104.