Least Common Multiple of 10237 and 10239
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 10239 the smallest integer that is 104816643 that is divisible by both numbers.
Least Common Multiple (LCM) of 10237 and 10239 is 104816643.
LCM(10237,10239) = 104816643
LCM of 10237 and 10239
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10237 and 10239 by Prime method
- Least Common Multiple of 10237 and 10239 with GCF Formula
LCM of 10237 and 10239 is 104816643
Least common multiple can be found by multiplying the highest exponent prime factors of 10237 and 10239. First we will calculate the prime factors of 10237 and 10239.
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 10239
| 3 | 10239 |
| 3413 | 3413 |
| 1 |
Prime factors of 10239 are 3,3413. Prime factorization of 10239 in exponential form is:
10239 = 31×34131
Now multiplying the highest exponent prime factors to calculate the LCM of 10237 and 10239.
LCM(10237,10239) = 31×291×3531×34131
LCM(10237,10239) = 104816643
Factors of 10237
List of positive integer factors of 10237 that divides 10237 without a remainder.
1, 29, 353, 10237
Factors of 10239
List of positive integer factors of 10239 that divides 10239 without a remainder.
1, 3, 3413, 10239
Least Common Multiple of 10237 and 10239 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10237 and 10239, than apply into the LCM equation.
GCF(10237,10239) = 1
LCM(10237,10239) = ( 10237 × 10239) / 1
LCM(10237,10239) = 104816643 / 1
LCM(10237,10239) = 104816643
Properties of LCM 10237 and 10239
(i) The LCM of 10239 and 10237 is associative
LCM of 10237 and 10239 = LCM of 10239 and 10237
Related Least Common Multiples of 10237
Related Least Common Multiples of 10239
Frequently Asked Questions on LCM of 10237 and 10239
1. What is the LCM of 10237 and 10239?
Answer: LCM of 10237 and 10239 is 104816643.
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 10239?
Answer: Factors of 10239 are 1, 3, 3413, 10239. There are 4 integers that are factors of 10239. The greatest factor of 10239 is 10239.
4. How to Find the LCM of 10237 and 10239?
Answer:
Least Common Multiple of 10237 and 10239 = 104816643
Step 1: Find the prime factorization of 10237
10237 = 29 x 353
Step 2: Find the prime factorization of 10239
10239 = 3 x 3413
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 104816643 = 3 x 29 x 353 x 3413
Step 4: Therefore, the least common multiple of 10237 and 10239 is 104816643.