Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2286 and 2292 the smallest integer that is 873252 that is divisible by both numbers.
Least Common Multiple (LCM) of 2286 and 2292 is 873252.
LCM(2286,2292) = 873252
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 2286 and 2292. First we will calculate the prime factors of 2286 and 2292.
Prime Factorization of 2286
2 | 2286 |
3 | 1143 |
3 | 381 |
127 | 127 |
1 |
Prime factors of 2286 are 2, 3,127. Prime factorization of 2286 in exponential form is:
2286 = 21×32×1271
Prime Factorization of 2292
2 | 2292 |
2 | 1146 |
3 | 573 |
191 | 191 |
1 |
Prime factors of 2292 are 2, 3,191. Prime factorization of 2292 in exponential form is:
2292 = 22×31×1911
Now multiplying the highest exponent prime factors to calculate the LCM of 2286 and 2292.
LCM(2286,2292) = 22×32×1271×1911
LCM(2286,2292) = 873252
Factors of 2286
List of positive integer factors of 2286 that divides 2286 without a remainder.
1, 2, 3, 6, 9, 18, 127, 254, 381, 762, 1143, 2286
Factors of 2292
List of positive integer factors of 2292 that divides 2292 without a remainder.
1, 2, 3, 4, 6, 12, 191, 382, 573, 764, 1146, 2292
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2286 and 2292, than apply into the LCM equation.
GCF(2286,2292) = 6
LCM(2286,2292) = ( 2286 × 2292) / 6
LCM(2286,2292) = 5239512 / 6
LCM(2286,2292) = 873252
(i) The LCM of 2292 and 2286 is associative
LCM of 2286 and 2292 = LCM of 2292 and 2286
1. What is the LCM of 2286 and 2292?
Answer: LCM of 2286 and 2292 is 873252.
2. What are the Factors of 2286?
Answer: Factors of 2286 are 1, 2, 3, 6, 9, 18, 127, 254, 381, 762, 1143, 2286. There are 12 integers that are factors of 2286. The greatest factor of 2286 is 2286.
3. What are the Factors of 2292?
Answer: Factors of 2292 are 1, 2, 3, 4, 6, 12, 191, 382, 573, 764, 1146, 2292. There are 12 integers that are factors of 2292. The greatest factor of 2292 is 2292.
4. How to Find the LCM of 2286 and 2292?
Answer:
Least Common Multiple of 2286 and 2292 = 873252
Step 1: Find the prime factorization of 2286
2286 = 2 x 3 x 3 x 127
Step 2: Find the prime factorization of 2292
2292 = 2 x 2 x 3 x 191
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 873252 = 2 x 2 x 3 x 3 x 127 x 191
Step 4: Therefore, the least common multiple of 2286 and 2292 is 873252.