Least Common Multiple of 5355 and 5363
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5355 and 5363 the smallest integer that is 28718865 that is divisible by both numbers.
Least Common Multiple (LCM) of 5355 and 5363 is 28718865.
LCM(5355,5363) = 28718865
LCM of 5355 and 5363
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5355 and 5363 by Prime method
- Least Common Multiple of 5355 and 5363 with GCF Formula
LCM of 5355 and 5363 is 28718865
Least common multiple can be found by multiplying the highest exponent prime factors of 5355 and 5363. First we will calculate the prime factors of 5355 and 5363.
Prime Factorization of 5355
| 3 | 5355 |
| 3 | 1785 |
| 5 | 595 |
| 7 | 119 |
| 17 | 17 |
| 1 |
Prime factors of 5355 are 3, 5, 7,17. Prime factorization of 5355 in exponential form is:
5355 = 32×51×71×171
Prime Factorization of 5363
| 31 | 5363 |
| 173 | 173 |
| 1 |
Prime factors of 5363 are 31,173. Prime factorization of 5363 in exponential form is:
5363 = 311×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 5355 and 5363.
LCM(5355,5363) = 32×51×71×171×311×1731
LCM(5355,5363) = 28718865
Factors of 5355
List of positive integer factors of 5355 that divides 5355 without a remainder.
1, 3, 5, 7, 9, 15, 17, 21, 35, 45, 51, 63, 85, 105, 119, 153, 255, 315, 357, 595, 765, 1071, 1785, 5355
Factors of 5363
List of positive integer factors of 5363 that divides 5363 without a remainder.
1, 31, 173, 5363
Least Common Multiple of 5355 and 5363 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5355 and 5363, than apply into the LCM equation.
GCF(5355,5363) = 1
LCM(5355,5363) = ( 5355 × 5363) / 1
LCM(5355,5363) = 28718865 / 1
LCM(5355,5363) = 28718865
Properties of LCM 5355 and 5363
(i) The LCM of 5363 and 5355 is associative
LCM of 5355 and 5363 = LCM of 5363 and 5355
Related Least Common Multiples of 5355
Related Least Common Multiples of 5363
Frequently Asked Questions on LCM of 5355 and 5363
1. What is the LCM of 5355 and 5363?
Answer: LCM of 5355 and 5363 is 28718865.
2. What are the Factors of 5355?
Answer: Factors of 5355 are 1, 3, 5, 7, 9, 15, 17, 21, 35, 45, 51, 63, 85, 105, 119, 153, 255, 315, 357, 595, 765, 1071, 1785, 5355. There are 24 integers that are factors of 5355. The greatest factor of 5355 is 5355.
3. What are the Factors of 5363?
Answer: Factors of 5363 are 1, 31, 173, 5363. There are 4 integers that are factors of 5363. The greatest factor of 5363 is 5363.
4. How to Find the LCM of 5355 and 5363?
Answer:
Least Common Multiple of 5355 and 5363 = 28718865
Step 1: Find the prime factorization of 5355
5355 = 3 x 3 x 5 x 7 x 17
Step 2: Find the prime factorization of 5363
5363 = 31 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28718865 = 3 x 3 x 5 x 7 x 17 x 31 x 173
Step 4: Therefore, the least common multiple of 5355 and 5363 is 28718865.