Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2234 and 2241 the smallest integer that is 5006394 that is divisible by both numbers.
Least Common Multiple (LCM) of 2234 and 2241 is 5006394.
LCM(2234,2241) = 5006394
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 2234 and 2241. First we will calculate the prime factors of 2234 and 2241.
Prime Factorization of 2234
2 | 2234 |
1117 | 1117 |
1 |
Prime factors of 2234 are 2,1117. Prime factorization of 2234 in exponential form is:
2234 = 21×11171
Prime Factorization of 2241
3 | 2241 |
3 | 747 |
3 | 249 |
83 | 83 |
1 |
Prime factors of 2241 are 3,83. Prime factorization of 2241 in exponential form is:
2241 = 33×831
Now multiplying the highest exponent prime factors to calculate the LCM of 2234 and 2241.
LCM(2234,2241) = 21×33×831×11171
LCM(2234,2241) = 5006394
Factors of 2234
List of positive integer factors of 2234 that divides 2234 without a remainder.
1, 2, 1117, 2234
Factors of 2241
List of positive integer factors of 2241 that divides 2241 without a remainder.
1, 3, 9, 27, 83, 249, 747, 2241
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2234 and 2241, than apply into the LCM equation.
GCF(2234,2241) = 1
LCM(2234,2241) = ( 2234 × 2241) / 1
LCM(2234,2241) = 5006394 / 1
LCM(2234,2241) = 5006394
(i) The LCM of 2241 and 2234 is associative
LCM of 2234 and 2241 = LCM of 2241 and 2234
1. What is the LCM of 2234 and 2241?
Answer: LCM of 2234 and 2241 is 5006394.
2. What are the Factors of 2234?
Answer: Factors of 2234 are 1, 2, 1117, 2234. There are 4 integers that are factors of 2234. The greatest factor of 2234 is 2234.
3. What are the Factors of 2241?
Answer: Factors of 2241 are 1, 3, 9, 27, 83, 249, 747, 2241. There are 8 integers that are factors of 2241. The greatest factor of 2241 is 2241.
4. How to Find the LCM of 2234 and 2241?
Answer:
Least Common Multiple of 2234 and 2241 = 5006394
Step 1: Find the prime factorization of 2234
2234 = 2 x 1117
Step 2: Find the prime factorization of 2241
2241 = 3 x 3 x 3 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5006394 = 2 x 3 x 3 x 3 x 83 x 1117
Step 4: Therefore, the least common multiple of 2234 and 2241 is 5006394.