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;
- Least Common Multiple of 5473 and 5481 by Prime method
- Least Common Multiple of 5473 and 5481 with GCF Formula
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
Related Least Common Multiples of 5473
Related Least Common Multiples of 5481
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.