Least Common Multiple of 5473 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 5473 and 5481 the smallest integer that is 29997513 that is divisible by both numbers.

Least Common Multiple (LCM) of 5473 and 5481 is 29997513.

LCM(5473,5481) = 29997513

LCM of 5473 and 5481

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

LCM of:
and

Least Common Multiple of 5473 and 5481

LCM of 5473 and 5481 is 29997513

Least common multiple can be found by multiplying the highest exponent prime factors of 5473 and 5481. First we will calculate the prime factors of 5473 and 5481.

Prime Factorization of 5473


13 5473
421 421
1

Prime factors of 5473 are 13,421. Prime factorization of 5473 in exponential form is:

5473 = 131×4211

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 5473 and 5481.

LCM(5473,5481) = 33×71×131×291×4211
LCM(5473,5481) = 29997513

Factors of 5473

List of positive integer factors of 5473 that divides 5473 without a remainder.

1, 13, 421, 5473

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 5473 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 5473 and 5481, than apply into the LCM equation.

GCF(5473,5481) = 1
LCM(5473,5481) = ( 5473 × 5481) / 1
LCM(5473,5481) = 29997513 / 1
LCM(5473,5481) = 29997513

Properties of LCM 5473 and 5481

(i) The LCM of 5481 and 5473 is associative

LCM of 5473 and 5481 = LCM of 5481 and 5473

Frequently Asked Questions on LCM of 5473 and 5481

1. What is the LCM of 5473 and 5481?

Answer: LCM of 5473 and 5481 is 29997513.

2. What are the Factors of 5473?

Answer: Factors of 5473 are 1, 13, 421, 5473. There are 4 integers that are factors of 5473. The greatest factor of 5473 is 5473.

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 5473 and 5481?

Answer:

Least Common Multiple of 5473 and 5481 = 29997513

Step 1: Find the prime factorization of 5473

5473 = 13 x 421

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 = 29997513 = 3 x 3 x 3 x 7 x 13 x 29 x 421

Step 4: Therefore, the least common multiple of 5473 and 5481 is 29997513.