Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10237 and 10244 the smallest integer that is 104867828 that is divisible by both numbers.
Least Common Multiple (LCM) of 10237 and 10244 is 104867828.
LCM(10237,10244) = 104867828
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 10237 and 10244. First we will calculate the prime factors of 10237 and 10244.
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
Prime Factorization of 10244
2 | 10244 |
2 | 5122 |
13 | 2561 |
197 | 197 |
1 |
Prime factors of 10244 are 2, 13,197. Prime factorization of 10244 in exponential form is:
10244 = 22×131×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 10237 and 10244.
LCM(10237,10244) = 22×131×291×1971×3531
LCM(10237,10244) = 104867828
Factors of 10237
List of positive integer factors of 10237 that divides 10237 without a remainder.
1, 29, 353, 10237
Factors of 10244
List of positive integer factors of 10244 that divides 10244 without a remainder.
1, 2, 4, 13, 26, 52, 197, 394, 788, 2561, 5122, 10244
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10237 and 10244, than apply into the LCM equation.
GCF(10237,10244) = 1
LCM(10237,10244) = ( 10237 × 10244) / 1
LCM(10237,10244) = 104867828 / 1
LCM(10237,10244) = 104867828
(i) The LCM of 10244 and 10237 is associative
LCM of 10237 and 10244 = LCM of 10244 and 10237
1. What is the LCM of 10237 and 10244?
Answer: LCM of 10237 and 10244 is 104867828.
2. 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.
3. What are the Factors of 10244?
Answer: Factors of 10244 are 1, 2, 4, 13, 26, 52, 197, 394, 788, 2561, 5122, 10244. There are 12 integers that are factors of 10244. The greatest factor of 10244 is 10244.
4. How to Find the LCM of 10237 and 10244?
Answer:
Least Common Multiple of 10237 and 10244 = 104867828
Step 1: Find the prime factorization of 10237
10237 = 29 x 353
Step 2: Find the prime factorization of 10244
10244 = 2 x 2 x 13 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 104867828 = 2 x 2 x 13 x 29 x 197 x 353
Step 4: Therefore, the least common multiple of 10237 and 10244 is 104867828.