Least Common Multiple of 5353 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 5353 and 5359 the smallest integer that is 28686727 that is divisible by both numbers.
Least Common Multiple (LCM) of 5353 and 5359 is 28686727.
LCM(5353,5359) = 28686727
LCM of 5353 and 5359
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5353 and 5359 by Prime method
- Least Common Multiple of 5353 and 5359 with GCF Formula
LCM of 5353 and 5359 is 28686727
Least common multiple can be found by multiplying the highest exponent prime factors of 5353 and 5359. First we will calculate the prime factors of 5353 and 5359.
Prime Factorization of 5353
| 53 | 5353 |
| 101 | 101 |
| 1 |
Prime factors of 5353 are 53,101. Prime factorization of 5353 in exponential form is:
5353 = 531×1011
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 5353 and 5359.
LCM(5353,5359) = 231×531×1011×2331
LCM(5353,5359) = 28686727
Factors of 5353
List of positive integer factors of 5353 that divides 5353 without a remainder.
1, 53, 101, 5353
Factors of 5359
List of positive integer factors of 5359 that divides 5359 without a remainder.
1, 23, 233, 5359
Least Common Multiple of 5353 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 5353 and 5359, than apply into the LCM equation.
GCF(5353,5359) = 1
LCM(5353,5359) = ( 5353 × 5359) / 1
LCM(5353,5359) = 28686727 / 1
LCM(5353,5359) = 28686727
Properties of LCM 5353 and 5359
(i) The LCM of 5359 and 5353 is associative
LCM of 5353 and 5359 = LCM of 5359 and 5353
Related Least Common Multiples of 5353
Related Least Common Multiples of 5359
Frequently Asked Questions on LCM of 5353 and 5359
1. What is the LCM of 5353 and 5359?
Answer: LCM of 5353 and 5359 is 28686727.
2. What are the Factors of 5353?
Answer: Factors of 5353 are 1, 53, 101, 5353. There are 4 integers that are factors of 5353. The greatest factor of 5353 is 5353.
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 5353 and 5359?
Answer:
Least Common Multiple of 5353 and 5359 = 28686727
Step 1: Find the prime factorization of 5353
5353 = 53 x 101
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 = 28686727 = 23 x 53 x 101 x 233
Step 4: Therefore, the least common multiple of 5353 and 5359 is 28686727.