Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2237 and 2244 the smallest integer that is 5019828 that is divisible by both numbers.
Least Common Multiple (LCM) of 2237 and 2244 is 5019828.
LCM(2237,2244) = 5019828
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 2237 and 2244. First we will calculate the prime factors of 2237 and 2244.
Prime Factorization of 2237
2237 | 2237 |
1 |
Prime factors of 2237 are 2237. Prime factorization of 2237 in exponential form is:
2237 = 22371
Prime Factorization of 2244
2 | 2244 |
2 | 1122 |
3 | 561 |
11 | 187 |
17 | 17 |
1 |
Prime factors of 2244 are 2, 3, 11,17. Prime factorization of 2244 in exponential form is:
2244 = 22×31×111×171
Now multiplying the highest exponent prime factors to calculate the LCM of 2237 and 2244.
LCM(2237,2244) = 22×31×111×171×22371
LCM(2237,2244) = 5019828
Factors of 2237
List of positive integer factors of 2237 that divides 2237 without a remainder.
1, 2237
Factors of 2244
List of positive integer factors of 2244 that divides 2244 without a remainder.
1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 374, 561, 748, 1122, 2244
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2237 and 2244, than apply into the LCM equation.
GCF(2237,2244) = 1
LCM(2237,2244) = ( 2237 × 2244) / 1
LCM(2237,2244) = 5019828 / 1
LCM(2237,2244) = 5019828
(i) The LCM of 2244 and 2237 is associative
LCM of 2237 and 2244 = LCM of 2244 and 2237
1. What is the LCM of 2237 and 2244?
Answer: LCM of 2237 and 2244 is 5019828.
2. What are the Factors of 2237?
Answer: Factors of 2237 are 1, 2237. There are 2 integers that are factors of 2237. The greatest factor of 2237 is 2237.
3. What are the Factors of 2244?
Answer: Factors of 2244 are 1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 374, 561, 748, 1122, 2244. There are 24 integers that are factors of 2244. The greatest factor of 2244 is 2244.
4. How to Find the LCM of 2237 and 2244?
Answer:
Least Common Multiple of 2237 and 2244 = 5019828
Step 1: Find the prime factorization of 2237
2237 = 2237
Step 2: Find the prime factorization of 2244
2244 = 2 x 2 x 3 x 11 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5019828 = 2 x 2 x 3 x 11 x 17 x 2237
Step 4: Therefore, the least common multiple of 2237 and 2244 is 5019828.