Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5287 and 5294 the smallest integer that is 27989378 that is divisible by both numbers.
Least Common Multiple (LCM) of 5287 and 5294 is 27989378.
LCM(5287,5294) = 27989378
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 5287 and 5294. First we will calculate the prime factors of 5287 and 5294.
Prime Factorization of 5287
17 | 5287 |
311 | 311 |
1 |
Prime factors of 5287 are 17,311. Prime factorization of 5287 in exponential form is:
5287 = 171×3111
Prime Factorization of 5294
2 | 5294 |
2647 | 2647 |
1 |
Prime factors of 5294 are 2,2647. Prime factorization of 5294 in exponential form is:
5294 = 21×26471
Now multiplying the highest exponent prime factors to calculate the LCM of 5287 and 5294.
LCM(5287,5294) = 21×171×3111×26471
LCM(5287,5294) = 27989378
Factors of 5287
List of positive integer factors of 5287 that divides 5287 without a remainder.
1, 17, 311, 5287
Factors of 5294
List of positive integer factors of 5294 that divides 5294 without a remainder.
1, 2, 2647, 5294
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5287 and 5294, than apply into the LCM equation.
GCF(5287,5294) = 1
LCM(5287,5294) = ( 5287 × 5294) / 1
LCM(5287,5294) = 27989378 / 1
LCM(5287,5294) = 27989378
(i) The LCM of 5294 and 5287 is associative
LCM of 5287 and 5294 = LCM of 5294 and 5287
1. What is the LCM of 5287 and 5294?
Answer: LCM of 5287 and 5294 is 27989378.
2. What are the Factors of 5287?
Answer: Factors of 5287 are 1, 17, 311, 5287. There are 4 integers that are factors of 5287. The greatest factor of 5287 is 5287.
3. What are the Factors of 5294?
Answer: Factors of 5294 are 1, 2, 2647, 5294. There are 4 integers that are factors of 5294. The greatest factor of 5294 is 5294.
4. How to Find the LCM of 5287 and 5294?
Answer:
Least Common Multiple of 5287 and 5294 = 27989378
Step 1: Find the prime factorization of 5287
5287 = 17 x 311
Step 2: Find the prime factorization of 5294
5294 = 2 x 2647
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27989378 = 2 x 17 x 311 x 2647
Step 4: Therefore, the least common multiple of 5287 and 5294 is 27989378.