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 2239 the smallest integer that is 5001926 that is divisible by both numbers.
Least Common Multiple (LCM) of 2234 and 2239 is 5001926.
LCM(2234,2239) = 5001926
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 2239. First we will calculate the prime factors of 2234 and 2239.
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 2239
2239 | 2239 |
1 |
Prime factors of 2239 are 2239. Prime factorization of 2239 in exponential form is:
2239 = 22391
Now multiplying the highest exponent prime factors to calculate the LCM of 2234 and 2239.
LCM(2234,2239) = 21×11171×22391
LCM(2234,2239) = 5001926
Factors of 2234
List of positive integer factors of 2234 that divides 2234 without a remainder.
1, 2, 1117, 2234
Factors of 2239
List of positive integer factors of 2239 that divides 2239 without a remainder.
1, 2239
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2234 and 2239, than apply into the LCM equation.
GCF(2234,2239) = 1
LCM(2234,2239) = ( 2234 × 2239) / 1
LCM(2234,2239) = 5001926 / 1
LCM(2234,2239) = 5001926
(i) The LCM of 2239 and 2234 is associative
LCM of 2234 and 2239 = LCM of 2239 and 2234
1. What is the LCM of 2234 and 2239?
Answer: LCM of 2234 and 2239 is 5001926.
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 2239?
Answer: Factors of 2239 are 1, 2239. There are 2 integers that are factors of 2239. The greatest factor of 2239 is 2239.
4. How to Find the LCM of 2234 and 2239?
Answer:
Least Common Multiple of 2234 and 2239 = 5001926
Step 1: Find the prime factorization of 2234
2234 = 2 x 1117
Step 2: Find the prime factorization of 2239
2239 = 2239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5001926 = 2 x 1117 x 2239
Step 4: Therefore, the least common multiple of 2234 and 2239 is 5001926.