Least Common Multiple of 5286 and 5293
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5286 and 5293 the smallest integer that is 27978798 that is divisible by both numbers.
Least Common Multiple (LCM) of 5286 and 5293 is 27978798.
LCM(5286,5293) = 27978798
LCM of 5286 and 5293
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5286 and 5293 by Prime method
- Least Common Multiple of 5286 and 5293 with GCF Formula
LCM of 5286 and 5293 is 27978798
Least common multiple can be found by multiplying the highest exponent prime factors of 5286 and 5293. First we will calculate the prime factors of 5286 and 5293.
Prime Factorization of 5286
| 2 | 5286 |
| 3 | 2643 |
| 881 | 881 |
| 1 |
Prime factors of 5286 are 2, 3,881. Prime factorization of 5286 in exponential form is:
5286 = 21×31×8811
Prime Factorization of 5293
| 67 | 5293 |
| 79 | 79 |
| 1 |
Prime factors of 5293 are 67,79. Prime factorization of 5293 in exponential form is:
5293 = 671×791
Now multiplying the highest exponent prime factors to calculate the LCM of 5286 and 5293.
LCM(5286,5293) = 21×31×671×791×8811
LCM(5286,5293) = 27978798
Factors of 5286
List of positive integer factors of 5286 that divides 5286 without a remainder.
1, 2, 3, 6, 881, 1762, 2643, 5286
Factors of 5293
List of positive integer factors of 5293 that divides 5293 without a remainder.
1, 67, 79, 5293
Least Common Multiple of 5286 and 5293 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5286 and 5293, than apply into the LCM equation.
GCF(5286,5293) = 1
LCM(5286,5293) = ( 5286 × 5293) / 1
LCM(5286,5293) = 27978798 / 1
LCM(5286,5293) = 27978798
Properties of LCM 5286 and 5293
(i) The LCM of 5293 and 5286 is associative
LCM of 5286 and 5293 = LCM of 5293 and 5286
Related Least Common Multiples of 5286
Related Least Common Multiples of 5293
Frequently Asked Questions on LCM of 5286 and 5293
1. What is the LCM of 5286 and 5293?
Answer: LCM of 5286 and 5293 is 27978798.
2. What are the Factors of 5286?
Answer: Factors of 5286 are 1, 2, 3, 6, 881, 1762, 2643, 5286. There are 8 integers that are factors of 5286. The greatest factor of 5286 is 5286.
3. What are the Factors of 5293?
Answer: Factors of 5293 are 1, 67, 79, 5293. There are 4 integers that are factors of 5293. The greatest factor of 5293 is 5293.
4. How to Find the LCM of 5286 and 5293?
Answer:
Least Common Multiple of 5286 and 5293 = 27978798
Step 1: Find the prime factorization of 5286
5286 = 2 x 3 x 881
Step 2: Find the prime factorization of 5293
5293 = 67 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27978798 = 2 x 3 x 67 x 79 x 881
Step 4: Therefore, the least common multiple of 5286 and 5293 is 27978798.