Least Common Multiple of 10233 and 10234
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 10234 the smallest integer that is 104724522 that is divisible by both numbers.
Least Common Multiple (LCM) of 10233 and 10234 is 104724522.
LCM(10233,10234) = 104724522
LCM of 10233 and 10234
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10233 and 10234 by Prime method
- Least Common Multiple of 10233 and 10234 with GCF Formula
LCM of 10233 and 10234 is 104724522
Least common multiple can be found by multiplying the highest exponent prime factors of 10233 and 10234. First we will calculate the prime factors of 10233 and 10234.
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 10234
| 2 | 10234 |
| 7 | 5117 |
| 17 | 731 |
| 43 | 43 |
| 1 |
Prime factors of 10234 are 2, 7, 17,43. Prime factorization of 10234 in exponential form is:
10234 = 21×71×171×431
Now multiplying the highest exponent prime factors to calculate the LCM of 10233 and 10234.
LCM(10233,10234) = 21×33×71×171×431×3791
LCM(10233,10234) = 104724522
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 10234
List of positive integer factors of 10234 that divides 10234 without a remainder.
1, 2, 7, 14, 17, 34, 43, 86, 119, 238, 301, 602, 731, 1462, 5117, 10234
Least Common Multiple of 10233 and 10234 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 10234, than apply into the LCM equation.
GCF(10233,10234) = 1
LCM(10233,10234) = ( 10233 × 10234) / 1
LCM(10233,10234) = 104724522 / 1
LCM(10233,10234) = 104724522
Properties of LCM 10233 and 10234
(i) The LCM of 10234 and 10233 is associative
LCM of 10233 and 10234 = LCM of 10234 and 10233
Related Least Common Multiples of 10233
Related Least Common Multiples of 10234
Frequently Asked Questions on LCM of 10233 and 10234
1. What is the LCM of 10233 and 10234?
Answer: LCM of 10233 and 10234 is 104724522.
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 10234?
Answer: Factors of 10234 are 1, 2, 7, 14, 17, 34, 43, 86, 119, 238, 301, 602, 731, 1462, 5117, 10234. There are 16 integers that are factors of 10234. The greatest factor of 10234 is 10234.
4. How to Find the LCM of 10233 and 10234?
Answer:
Least Common Multiple of 10233 and 10234 = 104724522
Step 1: Find the prime factorization of 10233
10233 = 3 x 3 x 3 x 379
Step 2: Find the prime factorization of 10234
10234 = 2 x 7 x 17 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 104724522 = 2 x 3 x 3 x 3 x 7 x 17 x 43 x 379
Step 4: Therefore, the least common multiple of 10233 and 10234 is 104724522.