Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10232 and 10237 the smallest integer that is 104744984 that is divisible by both numbers.
Least Common Multiple (LCM) of 10232 and 10237 is 104744984.
LCM(10232,10237) = 104744984
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 10232 and 10237. First we will calculate the prime factors of 10232 and 10237.
Prime Factorization of 10232
2 | 10232 |
2 | 5116 |
2 | 2558 |
1279 | 1279 |
1 |
Prime factors of 10232 are 2,1279. Prime factorization of 10232 in exponential form is:
10232 = 23×12791
Prime Factorization of 10237
29 | 10237 |
353 | 353 |
1 |
Prime factors of 10237 are 29,353. Prime factorization of 10237 in exponential form is:
10237 = 291×3531
Now multiplying the highest exponent prime factors to calculate the LCM of 10232 and 10237.
LCM(10232,10237) = 23×291×3531×12791
LCM(10232,10237) = 104744984
Factors of 10232
List of positive integer factors of 10232 that divides 10232 without a remainder.
1, 2, 4, 8, 1279, 2558, 5116, 10232
Factors of 10237
List of positive integer factors of 10237 that divides 10237 without a remainder.
1, 29, 353, 10237
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10232 and 10237, than apply into the LCM equation.
GCF(10232,10237) = 1
LCM(10232,10237) = ( 10232 × 10237) / 1
LCM(10232,10237) = 104744984 / 1
LCM(10232,10237) = 104744984
(i) The LCM of 10237 and 10232 is associative
LCM of 10232 and 10237 = LCM of 10237 and 10232
1. What is the LCM of 10232 and 10237?
Answer: LCM of 10232 and 10237 is 104744984.
2. What are the Factors of 10232?
Answer: Factors of 10232 are 1, 2, 4, 8, 1279, 2558, 5116, 10232. There are 8 integers that are factors of 10232. The greatest factor of 10232 is 10232.
3. What are the Factors of 10237?
Answer: Factors of 10237 are 1, 29, 353, 10237. There are 4 integers that are factors of 10237. The greatest factor of 10237 is 10237.
4. How to Find the LCM of 10232 and 10237?
Answer:
Least Common Multiple of 10232 and 10237 = 104744984
Step 1: Find the prime factorization of 10232
10232 = 2 x 2 x 2 x 1279
Step 2: Find the prime factorization of 10237
10237 = 29 x 353
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 104744984 = 2 x 2 x 2 x 29 x 353 x 1279
Step 4: Therefore, the least common multiple of 10232 and 10237 is 104744984.