Least Common Multiple of 10233 and 10241
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 10241 the smallest integer that is 104796153 that is divisible by both numbers.
Least Common Multiple (LCM) of 10233 and 10241 is 104796153.
LCM(10233,10241) = 104796153
LCM of 10233 and 10241
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10233 and 10241 by Prime method
- Least Common Multiple of 10233 and 10241 with GCF Formula
LCM of 10233 and 10241 is 104796153
Least common multiple can be found by multiplying the highest exponent prime factors of 10233 and 10241. First we will calculate the prime factors of 10233 and 10241.
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 10241
| 7 | 10241 |
| 7 | 1463 |
| 11 | 209 |
| 19 | 19 |
| 1 |
Prime factors of 10241 are 7, 11,19. Prime factorization of 10241 in exponential form is:
10241 = 72×111×191
Now multiplying the highest exponent prime factors to calculate the LCM of 10233 and 10241.
LCM(10233,10241) = 33×72×111×191×3791
LCM(10233,10241) = 104796153
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 10241
List of positive integer factors of 10241 that divides 10241 without a remainder.
1, 7, 11, 19, 49, 77, 133, 209, 539, 931, 1463, 10241
Least Common Multiple of 10233 and 10241 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 10241, than apply into the LCM equation.
GCF(10233,10241) = 1
LCM(10233,10241) = ( 10233 × 10241) / 1
LCM(10233,10241) = 104796153 / 1
LCM(10233,10241) = 104796153
Properties of LCM 10233 and 10241
(i) The LCM of 10241 and 10233 is associative
LCM of 10233 and 10241 = LCM of 10241 and 10233
Related Least Common Multiples of 10233
Related Least Common Multiples of 10241
Frequently Asked Questions on LCM of 10233 and 10241
1. What is the LCM of 10233 and 10241?
Answer: LCM of 10233 and 10241 is 104796153.
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 10241?
Answer: Factors of 10241 are 1, 7, 11, 19, 49, 77, 133, 209, 539, 931, 1463, 10241. There are 12 integers that are factors of 10241. The greatest factor of 10241 is 10241.
4. How to Find the LCM of 10233 and 10241?
Answer:
Least Common Multiple of 10233 and 10241 = 104796153
Step 1: Find the prime factorization of 10233
10233 = 3 x 3 x 3 x 379
Step 2: Find the prime factorization of 10241
10241 = 7 x 7 x 11 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 104796153 = 3 x 3 x 3 x 7 x 7 x 11 x 19 x 379
Step 4: Therefore, the least common multiple of 10233 and 10241 is 104796153.