Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2275 and 2282 the smallest integer that is 741650 that is divisible by both numbers.
Least Common Multiple (LCM) of 2275 and 2282 is 741650.
LCM(2275,2282) = 741650
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 2275 and 2282. First we will calculate the prime factors of 2275 and 2282.
Prime Factorization of 2275
5 | 2275 |
5 | 455 |
7 | 91 |
13 | 13 |
1 |
Prime factors of 2275 are 5, 7,13. Prime factorization of 2275 in exponential form is:
2275 = 52×71×131
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 2275 and 2282.
LCM(2275,2282) = 21×52×71×131×1631
LCM(2275,2282) = 741650
Factors of 2275
List of positive integer factors of 2275 that divides 2275 without a remainder.
1, 5, 7, 13, 25, 35, 65, 91, 175, 325, 455, 2275
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 2275 and 2282, than apply into the LCM equation.
GCF(2275,2282) = 7
LCM(2275,2282) = ( 2275 × 2282) / 7
LCM(2275,2282) = 5191550 / 7
LCM(2275,2282) = 741650
(i) The LCM of 2282 and 2275 is associative
LCM of 2275 and 2282 = LCM of 2282 and 2275
1. What is the LCM of 2275 and 2282?
Answer: LCM of 2275 and 2282 is 741650.
2. What are the Factors of 2275?
Answer: Factors of 2275 are 1, 5, 7, 13, 25, 35, 65, 91, 175, 325, 455, 2275. There are 12 integers that are factors of 2275. The greatest factor of 2275 is 2275.
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 2275 and 2282?
Answer:
Least Common Multiple of 2275 and 2282 = 741650
Step 1: Find the prime factorization of 2275
2275 = 5 x 5 x 7 x 13
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 = 741650 = 2 x 5 x 5 x 7 x 13 x 163
Step 4: Therefore, the least common multiple of 2275 and 2282 is 741650.