Least Common Multiple of 5481 and 5485
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 5485 the smallest integer that is 30063285 that is divisible by both numbers.
Least Common Multiple (LCM) of 5481 and 5485 is 30063285.
LCM(5481,5485) = 30063285
LCM of 5481 and 5485
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5481 and 5485 by Prime method
- Least Common Multiple of 5481 and 5485 with GCF Formula
LCM of 5481 and 5485 is 30063285
Least common multiple can be found by multiplying the highest exponent prime factors of 5481 and 5485. First we will calculate the prime factors of 5481 and 5485.
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 5485
| 5 | 5485 |
| 1097 | 1097 |
| 1 |
Prime factors of 5485 are 5,1097. Prime factorization of 5485 in exponential form is:
5485 = 51×10971
Now multiplying the highest exponent prime factors to calculate the LCM of 5481 and 5485.
LCM(5481,5485) = 33×51×71×291×10971
LCM(5481,5485) = 30063285
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 5485
List of positive integer factors of 5485 that divides 5485 without a remainder.
1, 5, 1097, 5485
Least Common Multiple of 5481 and 5485 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 5485, than apply into the LCM equation.
GCF(5481,5485) = 1
LCM(5481,5485) = ( 5481 × 5485) / 1
LCM(5481,5485) = 30063285 / 1
LCM(5481,5485) = 30063285
Properties of LCM 5481 and 5485
(i) The LCM of 5485 and 5481 is associative
LCM of 5481 and 5485 = LCM of 5485 and 5481
Related Least Common Multiples of 5481
Related Least Common Multiples of 5485
Frequently Asked Questions on LCM of 5481 and 5485
1. What is the LCM of 5481 and 5485?
Answer: LCM of 5481 and 5485 is 30063285.
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 5485?
Answer: Factors of 5485 are 1, 5, 1097, 5485. There are 4 integers that are factors of 5485. The greatest factor of 5485 is 5485.
4. How to Find the LCM of 5481 and 5485?
Answer:
Least Common Multiple of 5481 and 5485 = 30063285
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 5485
5485 = 5 x 1097
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30063285 = 3 x 3 x 3 x 5 x 7 x 29 x 1097
Step 4: Therefore, the least common multiple of 5481 and 5485 is 30063285.