Least Common Multiple of 5355 and 5359
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 5359 the smallest integer that is 28697445 that is divisible by both numbers.
Least Common Multiple (LCM) of 5355 and 5359 is 28697445.
LCM(5355,5359) = 28697445
LCM of 5355 and 5359
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5355 and 5359 by Prime method
- Least Common Multiple of 5355 and 5359 with GCF Formula
LCM of 5355 and 5359 is 28697445
Least common multiple can be found by multiplying the highest exponent prime factors of 5355 and 5359. First we will calculate the prime factors of 5355 and 5359.
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 5359
| 23 | 5359 |
| 233 | 233 |
| 1 |
Prime factors of 5359 are 23,233. Prime factorization of 5359 in exponential form is:
5359 = 231×2331
Now multiplying the highest exponent prime factors to calculate the LCM of 5355 and 5359.
LCM(5355,5359) = 32×51×71×171×231×2331
LCM(5355,5359) = 28697445
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 5359
List of positive integer factors of 5359 that divides 5359 without a remainder.
1, 23, 233, 5359
Least Common Multiple of 5355 and 5359 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 5359, than apply into the LCM equation.
GCF(5355,5359) = 1
LCM(5355,5359) = ( 5355 × 5359) / 1
LCM(5355,5359) = 28697445 / 1
LCM(5355,5359) = 28697445
Properties of LCM 5355 and 5359
(i) The LCM of 5359 and 5355 is associative
LCM of 5355 and 5359 = LCM of 5359 and 5355
Related Least Common Multiples of 5355
Related Least Common Multiples of 5359
Frequently Asked Questions on LCM of 5355 and 5359
1. What is the LCM of 5355 and 5359?
Answer: LCM of 5355 and 5359 is 28697445.
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 5359?
Answer: Factors of 5359 are 1, 23, 233, 5359. There are 4 integers that are factors of 5359. The greatest factor of 5359 is 5359.
4. How to Find the LCM of 5355 and 5359?
Answer:
Least Common Multiple of 5355 and 5359 = 28697445
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 5359
5359 = 23 x 233
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28697445 = 3 x 3 x 5 x 7 x 17 x 23 x 233
Step 4: Therefore, the least common multiple of 5355 and 5359 is 28697445.