Least Common Multiple of 10233 and 10235
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 10235 the smallest integer that is 104734755 that is divisible by both numbers.
Least Common Multiple (LCM) of 10233 and 10235 is 104734755.
LCM(10233,10235) = 104734755
LCM of 10233 and 10235
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10233 and 10235 by Prime method
- Least Common Multiple of 10233 and 10235 with GCF Formula
LCM of 10233 and 10235 is 104734755
Least common multiple can be found by multiplying the highest exponent prime factors of 10233 and 10235. First we will calculate the prime factors of 10233 and 10235.
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 10235
| 5 | 10235 |
| 23 | 2047 |
| 89 | 89 |
| 1 |
Prime factors of 10235 are 5, 23,89. Prime factorization of 10235 in exponential form is:
10235 = 51×231×891
Now multiplying the highest exponent prime factors to calculate the LCM of 10233 and 10235.
LCM(10233,10235) = 33×51×231×891×3791
LCM(10233,10235) = 104734755
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 10235
List of positive integer factors of 10235 that divides 10235 without a remainder.
1, 5, 23, 89, 115, 445, 2047, 10235
Least Common Multiple of 10233 and 10235 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 10235, than apply into the LCM equation.
GCF(10233,10235) = 1
LCM(10233,10235) = ( 10233 × 10235) / 1
LCM(10233,10235) = 104734755 / 1
LCM(10233,10235) = 104734755
Properties of LCM 10233 and 10235
(i) The LCM of 10235 and 10233 is associative
LCM of 10233 and 10235 = LCM of 10235 and 10233
Related Least Common Multiples of 10233
Related Least Common Multiples of 10235
Frequently Asked Questions on LCM of 10233 and 10235
1. What is the LCM of 10233 and 10235?
Answer: LCM of 10233 and 10235 is 104734755.
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 10235?
Answer: Factors of 10235 are 1, 5, 23, 89, 115, 445, 2047, 10235. There are 8 integers that are factors of 10235. The greatest factor of 10235 is 10235.
4. How to Find the LCM of 10233 and 10235?
Answer:
Least Common Multiple of 10233 and 10235 = 104734755
Step 1: Find the prime factorization of 10233
10233 = 3 x 3 x 3 x 379
Step 2: Find the prime factorization of 10235
10235 = 5 x 23 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 104734755 = 3 x 3 x 3 x 5 x 23 x 89 x 379
Step 4: Therefore, the least common multiple of 10233 and 10235 is 104734755.