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 2290 the smallest integer that is 2617470 that is divisible by both numbers.
Least Common Multiple (LCM) of 2286 and 2290 is 2617470.
LCM(2286,2290) = 2617470
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 2290. First we will calculate the prime factors of 2286 and 2290.
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 2290
2 | 2290 |
5 | 1145 |
229 | 229 |
1 |
Prime factors of 2290 are 2, 5,229. Prime factorization of 2290 in exponential form is:
2290 = 21×51×2291
Now multiplying the highest exponent prime factors to calculate the LCM of 2286 and 2290.
LCM(2286,2290) = 21×32×51×1271×2291
LCM(2286,2290) = 2617470
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 2290
List of positive integer factors of 2290 that divides 2290 without a remainder.
1, 2, 5, 10, 229, 458, 1145, 2290
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2286 and 2290, than apply into the LCM equation.
GCF(2286,2290) = 2
LCM(2286,2290) = ( 2286 × 2290) / 2
LCM(2286,2290) = 5234940 / 2
LCM(2286,2290) = 2617470
(i) The LCM of 2290 and 2286 is associative
LCM of 2286 and 2290 = LCM of 2290 and 2286
1. What is the LCM of 2286 and 2290?
Answer: LCM of 2286 and 2290 is 2617470.
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 2290?
Answer: Factors of 2290 are 1, 2, 5, 10, 229, 458, 1145, 2290. There are 8 integers that are factors of 2290. The greatest factor of 2290 is 2290.
4. How to Find the LCM of 2286 and 2290?
Answer:
Least Common Multiple of 2286 and 2290 = 2617470
Step 1: Find the prime factorization of 2286
2286 = 2 x 3 x 3 x 127
Step 2: Find the prime factorization of 2290
2290 = 2 x 5 x 229
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2617470 = 2 x 3 x 3 x 5 x 127 x 229
Step 4: Therefore, the least common multiple of 2286 and 2290 is 2617470.