Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10238 and 10243 the smallest integer that is 104867834 that is divisible by both numbers.
Least Common Multiple (LCM) of 10238 and 10243 is 104867834.
LCM(10238,10243) = 104867834
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 10238 and 10243. First we will calculate the prime factors of 10238 and 10243.
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
Prime Factorization of 10243
10243 | 10243 |
1 |
Prime factors of 10243 are 10243. Prime factorization of 10243 in exponential form is:
10243 = 102431
Now multiplying the highest exponent prime factors to calculate the LCM of 10238 and 10243.
LCM(10238,10243) = 21×51191×102431
LCM(10238,10243) = 104867834
Factors of 10238
List of positive integer factors of 10238 that divides 10238 without a remainder.
1, 2, 5119, 10238
Factors of 10243
List of positive integer factors of 10243 that divides 10243 without a remainder.
1, 10243
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10238 and 10243, than apply into the LCM equation.
GCF(10238,10243) = 1
LCM(10238,10243) = ( 10238 × 10243) / 1
LCM(10238,10243) = 104867834 / 1
LCM(10238,10243) = 104867834
(i) The LCM of 10243 and 10238 is associative
LCM of 10238 and 10243 = LCM of 10243 and 10238
1. What is the LCM of 10238 and 10243?
Answer: LCM of 10238 and 10243 is 104867834.
2. 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.
3. What are the Factors of 10243?
Answer: Factors of 10243 are 1, 10243. There are 2 integers that are factors of 10243. The greatest factor of 10243 is 10243.
4. How to Find the LCM of 10238 and 10243?
Answer:
Least Common Multiple of 10238 and 10243 = 104867834
Step 1: Find the prime factorization of 10238
10238 = 2 x 5119
Step 2: Find the prime factorization of 10243
10243 = 10243
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 104867834 = 2 x 5119 x 10243
Step 4: Therefore, the least common multiple of 10238 and 10243 is 104867834.