Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5291 and 5296 the smallest integer that is 28021136 that is divisible by both numbers.
Least Common Multiple (LCM) of 5291 and 5296 is 28021136.
LCM(5291,5296) = 28021136
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 5291 and 5296. First we will calculate the prime factors of 5291 and 5296.
Prime Factorization of 5291
11 | 5291 |
13 | 481 |
37 | 37 |
1 |
Prime factors of 5291 are 11, 13,37. Prime factorization of 5291 in exponential form is:
5291 = 111×131×371
Prime Factorization of 5296
2 | 5296 |
2 | 2648 |
2 | 1324 |
2 | 662 |
331 | 331 |
1 |
Prime factors of 5296 are 2,331. Prime factorization of 5296 in exponential form is:
5296 = 24×3311
Now multiplying the highest exponent prime factors to calculate the LCM of 5291 and 5296.
LCM(5291,5296) = 24×111×131×371×3311
LCM(5291,5296) = 28021136
Factors of 5291
List of positive integer factors of 5291 that divides 5291 without a remainder.
1, 11, 13, 37, 143, 407, 481, 5291
Factors of 5296
List of positive integer factors of 5296 that divides 5296 without a remainder.
1, 2, 4, 8, 16, 331, 662, 1324, 2648, 5296
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5291 and 5296, than apply into the LCM equation.
GCF(5291,5296) = 1
LCM(5291,5296) = ( 5291 × 5296) / 1
LCM(5291,5296) = 28021136 / 1
LCM(5291,5296) = 28021136
(i) The LCM of 5296 and 5291 is associative
LCM of 5291 and 5296 = LCM of 5296 and 5291
1. What is the LCM of 5291 and 5296?
Answer: LCM of 5291 and 5296 is 28021136.
2. What are the Factors of 5291?
Answer: Factors of 5291 are 1, 11, 13, 37, 143, 407, 481, 5291. There are 8 integers that are factors of 5291. The greatest factor of 5291 is 5291.
3. What are the Factors of 5296?
Answer: Factors of 5296 are 1, 2, 4, 8, 16, 331, 662, 1324, 2648, 5296. There are 10 integers that are factors of 5296. The greatest factor of 5296 is 5296.
4. How to Find the LCM of 5291 and 5296?
Answer:
Least Common Multiple of 5291 and 5296 = 28021136
Step 1: Find the prime factorization of 5291
5291 = 11 x 13 x 37
Step 2: Find the prime factorization of 5296
5296 = 2 x 2 x 2 x 2 x 331
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28021136 = 2 x 2 x 2 x 2 x 11 x 13 x 37 x 331
Step 4: Therefore, the least common multiple of 5291 and 5296 is 28021136.