Least Common Multiple of 10233 and 10237
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 10237 the smallest integer that is 104755221 that is divisible by both numbers.
Least Common Multiple (LCM) of 10233 and 10237 is 104755221.
LCM(10233,10237) = 104755221
LCM of 10233 and 10237
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10233 and 10237 by Prime method
- Least Common Multiple of 10233 and 10237 with GCF Formula
LCM of 10233 and 10237 is 104755221
Least common multiple can be found by multiplying the highest exponent prime factors of 10233 and 10237. First we will calculate the prime factors of 10233 and 10237.
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 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 10233 and 10237.
LCM(10233,10237) = 33×291×3531×3791
LCM(10233,10237) = 104755221
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 10237
List of positive integer factors of 10237 that divides 10237 without a remainder.
1, 29, 353, 10237
Least Common Multiple of 10233 and 10237 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10233 and 10237, than apply into the LCM equation.
GCF(10233,10237) = 1
LCM(10233,10237) = ( 10233 × 10237) / 1
LCM(10233,10237) = 104755221 / 1
LCM(10233,10237) = 104755221
Properties of LCM 10233 and 10237
(i) The LCM of 10237 and 10233 is associative
LCM of 10233 and 10237 = LCM of 10237 and 10233
Related Least Common Multiples of 10233
Related Least Common Multiples of 10237
Frequently Asked Questions on LCM of 10233 and 10237
1. What is the LCM of 10233 and 10237?
Answer: LCM of 10233 and 10237 is 104755221.
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 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 10233 and 10237?
Answer:
Least Common Multiple of 10233 and 10237 = 104755221
Step 1: Find the prime factorization of 10233
10233 = 3 x 3 x 3 x 379
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 = 104755221 = 3 x 3 x 3 x 29 x 353 x 379
Step 4: Therefore, the least common multiple of 10233 and 10237 is 104755221.