Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10233 and 10238 the smallest integer that is 104765454 that is divisible by both numbers.
Least Common Multiple (LCM) of 10233 and 10238 is 104765454.
LCM(10233,10238) = 104765454
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 10233 and 10238. First we will calculate the prime factors of 10233 and 10238.
Prime Factorization of 10233
3 | 10233 |
3 | 3411 |
3 | 1137 |
379 | 379 |
1 |
Prime factors of 10233 are 3,379. Prime factorization of 10233 in exponential form is:
10233 = 33×3791
Prime Factorization of 10238
2 | 10238 |
5119 | 5119 |
1 |
Prime factors of 10238 are 2,5119. Prime factorization of 10238 in exponential form is:
10238 = 21×51191
Now multiplying the highest exponent prime factors to calculate the LCM of 10233 and 10238.
LCM(10233,10238) = 21×33×3791×51191
LCM(10233,10238) = 104765454
Factors of 10233
List of positive integer factors of 10233 that divides 10233 without a remainder.
1, 3, 9, 27, 379, 1137, 3411, 10233
Factors of 10238
List of positive integer factors of 10238 that divides 10238 without a remainder.
1, 2, 5119, 10238
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10233 and 10238, than apply into the LCM equation.
GCF(10233,10238) = 1
LCM(10233,10238) = ( 10233 × 10238) / 1
LCM(10233,10238) = 104765454 / 1
LCM(10233,10238) = 104765454
(i) The LCM of 10238 and 10233 is associative
LCM of 10233 and 10238 = LCM of 10238 and 10233
1. What is the LCM of 10233 and 10238?
Answer: LCM of 10233 and 10238 is 104765454.
2. What are the Factors of 10233?
Answer: Factors of 10233 are 1, 3, 9, 27, 379, 1137, 3411, 10233. There are 8 integers that are factors of 10233. The greatest factor of 10233 is 10233.
3. What are the Factors of 10238?
Answer: Factors of 10238 are 1, 2, 5119, 10238. There are 4 integers that are factors of 10238. The greatest factor of 10238 is 10238.
4. How to Find the LCM of 10233 and 10238?
Answer:
Least Common Multiple of 10233 and 10238 = 104765454
Step 1: Find the prime factorization of 10233
10233 = 3 x 3 x 3 x 379
Step 2: Find the prime factorization of 10238
10238 = 2 x 5119
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 104765454 = 2 x 3 x 3 x 3 x 379 x 5119
Step 4: Therefore, the least common multiple of 10233 and 10238 is 104765454.