Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2291 and 2296 the smallest integer that is 5260136 that is divisible by both numbers.
Least Common Multiple (LCM) of 2291 and 2296 is 5260136.
LCM(2291,2296) = 5260136
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 2291 and 2296. First we will calculate the prime factors of 2291 and 2296.
Prime Factorization of 2291
29 | 2291 |
79 | 79 |
1 |
Prime factors of 2291 are 29,79. Prime factorization of 2291 in exponential form is:
2291 = 291×791
Prime Factorization of 2296
2 | 2296 |
2 | 1148 |
2 | 574 |
7 | 287 |
41 | 41 |
1 |
Prime factors of 2296 are 2, 7,41. Prime factorization of 2296 in exponential form is:
2296 = 23×71×411
Now multiplying the highest exponent prime factors to calculate the LCM of 2291 and 2296.
LCM(2291,2296) = 23×71×291×411×791
LCM(2291,2296) = 5260136
Factors of 2291
List of positive integer factors of 2291 that divides 2291 without a remainder.
1, 29, 79, 2291
Factors of 2296
List of positive integer factors of 2296 that divides 2296 without a remainder.
1, 2, 4, 7, 8, 14, 28, 41, 56, 82, 164, 287, 328, 574, 1148, 2296
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2291 and 2296, than apply into the LCM equation.
GCF(2291,2296) = 1
LCM(2291,2296) = ( 2291 × 2296) / 1
LCM(2291,2296) = 5260136 / 1
LCM(2291,2296) = 5260136
(i) The LCM of 2296 and 2291 is associative
LCM of 2291 and 2296 = LCM of 2296 and 2291
1. What is the LCM of 2291 and 2296?
Answer: LCM of 2291 and 2296 is 5260136.
2. What are the Factors of 2291?
Answer: Factors of 2291 are 1, 29, 79, 2291. There are 4 integers that are factors of 2291. The greatest factor of 2291 is 2291.
3. What are the Factors of 2296?
Answer: Factors of 2296 are 1, 2, 4, 7, 8, 14, 28, 41, 56, 82, 164, 287, 328, 574, 1148, 2296. There are 16 integers that are factors of 2296. The greatest factor of 2296 is 2296.
4. How to Find the LCM of 2291 and 2296?
Answer:
Least Common Multiple of 2291 and 2296 = 5260136
Step 1: Find the prime factorization of 2291
2291 = 29 x 79
Step 2: Find the prime factorization of 2296
2296 = 2 x 2 x 2 x 7 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5260136 = 2 x 2 x 2 x 7 x 29 x 41 x 79
Step 4: Therefore, the least common multiple of 2291 and 2296 is 5260136.