Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2244 and 2250 the smallest integer that is 841500 that is divisible by both numbers.
Least Common Multiple (LCM) of 2244 and 2250 is 841500.
LCM(2244,2250) = 841500
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 2244 and 2250. First we will calculate the prime factors of 2244 and 2250.
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
Prime Factorization of 2250
2 | 2250 |
3 | 1125 |
3 | 375 |
5 | 125 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 2250 are 2, 3,5. Prime factorization of 2250 in exponential form is:
2250 = 21×32×53
Now multiplying the highest exponent prime factors to calculate the LCM of 2244 and 2250.
LCM(2244,2250) = 22×32×53×111×171
LCM(2244,2250) = 841500
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
Factors of 2250
List of positive integer factors of 2250 that divides 2250 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 750, 1125, 2250
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2244 and 2250, than apply into the LCM equation.
GCF(2244,2250) = 6
LCM(2244,2250) = ( 2244 × 2250) / 6
LCM(2244,2250) = 5049000 / 6
LCM(2244,2250) = 841500
(i) The LCM of 2250 and 2244 is associative
LCM of 2244 and 2250 = LCM of 2250 and 2244
1. What is the LCM of 2244 and 2250?
Answer: LCM of 2244 and 2250 is 841500.
2. 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.
3. What are the Factors of 2250?
Answer: Factors of 2250 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 750, 1125, 2250. There are 24 integers that are factors of 2250. The greatest factor of 2250 is 2250.
4. How to Find the LCM of 2244 and 2250?
Answer:
Least Common Multiple of 2244 and 2250 = 841500
Step 1: Find the prime factorization of 2244
2244 = 2 x 2 x 3 x 11 x 17
Step 2: Find the prime factorization of 2250
2250 = 2 x 3 x 3 x 5 x 5 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 841500 = 2 x 2 x 3 x 3 x 5 x 5 x 5 x 11 x 17
Step 4: Therefore, the least common multiple of 2244 and 2250 is 841500.