Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2276 and 2282 the smallest integer that is 2596916 that is divisible by both numbers.
Least Common Multiple (LCM) of 2276 and 2282 is 2596916.
LCM(2276,2282) = 2596916
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 2276 and 2282. First we will calculate the prime factors of 2276 and 2282.
Prime Factorization of 2276
2 | 2276 |
2 | 1138 |
569 | 569 |
1 |
Prime factors of 2276 are 2,569. Prime factorization of 2276 in exponential form is:
2276 = 22×5691
Prime Factorization of 2282
2 | 2282 |
7 | 1141 |
163 | 163 |
1 |
Prime factors of 2282 are 2, 7,163. Prime factorization of 2282 in exponential form is:
2282 = 21×71×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 2276 and 2282.
LCM(2276,2282) = 22×71×1631×5691
LCM(2276,2282) = 2596916
Factors of 2276
List of positive integer factors of 2276 that divides 2276 without a remainder.
1, 2, 4, 569, 1138, 2276
Factors of 2282
List of positive integer factors of 2282 that divides 2282 without a remainder.
1, 2, 7, 14, 163, 326, 1141, 2282
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2276 and 2282, than apply into the LCM equation.
GCF(2276,2282) = 2
LCM(2276,2282) = ( 2276 × 2282) / 2
LCM(2276,2282) = 5193832 / 2
LCM(2276,2282) = 2596916
(i) The LCM of 2282 and 2276 is associative
LCM of 2276 and 2282 = LCM of 2282 and 2276
1. What is the LCM of 2276 and 2282?
Answer: LCM of 2276 and 2282 is 2596916.
2. What are the Factors of 2276?
Answer: Factors of 2276 are 1, 2, 4, 569, 1138, 2276. There are 6 integers that are factors of 2276. The greatest factor of 2276 is 2276.
3. What are the Factors of 2282?
Answer: Factors of 2282 are 1, 2, 7, 14, 163, 326, 1141, 2282. There are 8 integers that are factors of 2282. The greatest factor of 2282 is 2282.
4. How to Find the LCM of 2276 and 2282?
Answer:
Least Common Multiple of 2276 and 2282 = 2596916
Step 1: Find the prime factorization of 2276
2276 = 2 x 2 x 569
Step 2: Find the prime factorization of 2282
2282 = 2 x 7 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2596916 = 2 x 2 x 7 x 163 x 569
Step 4: Therefore, the least common multiple of 2276 and 2282 is 2596916.