Least Common Multiple of 5475 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 5475 and 5481 the smallest integer that is 10002825 that is divisible by both numbers.

Least Common Multiple (LCM) of 5475 and 5481 is 10002825.

LCM(5475,5481) = 10002825

LCM of 5475 and 5481

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

LCM of:
and

Least Common Multiple of 5475 and 5481

LCM of 5475 and 5481 is 10002825

Least common multiple can be found by multiplying the highest exponent prime factors of 5475 and 5481. First we will calculate the prime factors of 5475 and 5481.

Prime Factorization of 5475


3 5475
5 1825
5 365
73 73
1

Prime factors of 5475 are 3, 5,73. Prime factorization of 5475 in exponential form is:

5475 = 31×52×731

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 5475 and 5481.

LCM(5475,5481) = 33×52×71×291×731
LCM(5475,5481) = 10002825

Factors of 5475

List of positive integer factors of 5475 that divides 5475 without a remainder.

1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825, 5475

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 5475 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 5475 and 5481, than apply into the LCM equation.

GCF(5475,5481) = 3
LCM(5475,5481) = ( 5475 × 5481) / 3
LCM(5475,5481) = 30008475 / 3
LCM(5475,5481) = 10002825

Properties of LCM 5475 and 5481

(i) The LCM of 5481 and 5475 is associative

LCM of 5475 and 5481 = LCM of 5481 and 5475

Related Least Common Multiples of 5475

Related Least Common Multiples of 5481

Frequently Asked Questions on LCM of 5475 and 5481

1. What is the LCM of 5475 and 5481?

Answer: LCM of 5475 and 5481 is 10002825.

2. What are the Factors of 5475?

Answer: Factors of 5475 are 1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825, 5475. There are 12 integers that are factors of 5475. The greatest factor of 5475 is 5475.

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 5475 and 5481?

Answer:

Least Common Multiple of 5475 and 5481 = 10002825

Step 1: Find the prime factorization of 5475

5475 = 3 x 5 x 5 x 73

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 = 10002825 = 3 x 3 x 3 x 5 x 5 x 7 x 29 x 73

Step 4: Therefore, the least common multiple of 5475 and 5481 is 10002825.