Least Common Multiple of 10235 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 10235 and 10241 the smallest integer that is 104816635 that is divisible by both numbers.
Least Common Multiple (LCM) of 10235 and 10241 is 104816635.
LCM(10235,10241) = 104816635
LCM of 10235 and 10241
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10235 and 10241 by Prime method
- Least Common Multiple of 10235 and 10241 with GCF Formula
LCM of 10235 and 10241 is 104816635
Least common multiple can be found by multiplying the highest exponent prime factors of 10235 and 10241. First we will calculate the prime factors of 10235 and 10241.
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
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 10235 and 10241.
LCM(10235,10241) = 51×72×111×191×231×891
LCM(10235,10241) = 104816635
Factors of 10235
List of positive integer factors of 10235 that divides 10235 without a remainder.
1, 5, 23, 89, 115, 445, 2047, 10235
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 10235 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 10235 and 10241, than apply into the LCM equation.
GCF(10235,10241) = 1
LCM(10235,10241) = ( 10235 × 10241) / 1
LCM(10235,10241) = 104816635 / 1
LCM(10235,10241) = 104816635
Properties of LCM 10235 and 10241
(i) The LCM of 10241 and 10235 is associative
LCM of 10235 and 10241 = LCM of 10241 and 10235
Related Least Common Multiples of 10235
Related Least Common Multiples of 10241
Frequently Asked Questions on LCM of 10235 and 10241
1. What is the LCM of 10235 and 10241?
Answer: LCM of 10235 and 10241 is 104816635.
2. 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.
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 10235 and 10241?
Answer:
Least Common Multiple of 10235 and 10241 = 104816635
Step 1: Find the prime factorization of 10235
10235 = 5 x 23 x 89
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 = 104816635 = 5 x 7 x 7 x 11 x 19 x 23 x 89
Step 4: Therefore, the least common multiple of 10235 and 10241 is 104816635.