Least Common Multiple of 10241 and 10245
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10241 and 10245 the smallest integer that is 104919045 that is divisible by both numbers.
Least Common Multiple (LCM) of 10241 and 10245 is 104919045.
LCM(10241,10245) = 104919045
LCM of 10241 and 10245
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10241 and 10245 by Prime method
- Least Common Multiple of 10241 and 10245 with GCF Formula
LCM of 10241 and 10245 is 104919045
Least common multiple can be found by multiplying the highest exponent prime factors of 10241 and 10245. First we will calculate the prime factors of 10241 and 10245.
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
Prime Factorization of 10245
| 3 | 10245 |
| 5 | 3415 |
| 683 | 683 |
| 1 |
Prime factors of 10245 are 3, 5,683. Prime factorization of 10245 in exponential form is:
10245 = 31×51×6831
Now multiplying the highest exponent prime factors to calculate the LCM of 10241 and 10245.
LCM(10241,10245) = 31×51×72×111×191×6831
LCM(10241,10245) = 104919045
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
Factors of 10245
List of positive integer factors of 10245 that divides 10245 without a remainder.
1, 3, 5, 15, 683, 2049, 3415, 10245
Least Common Multiple of 10241 and 10245 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10241 and 10245, than apply into the LCM equation.
GCF(10241,10245) = 1
LCM(10241,10245) = ( 10241 × 10245) / 1
LCM(10241,10245) = 104919045 / 1
LCM(10241,10245) = 104919045
Properties of LCM 10241 and 10245
(i) The LCM of 10245 and 10241 is associative
LCM of 10241 and 10245 = LCM of 10245 and 10241
Related Least Common Multiples of 10241
Related Least Common Multiples of 10245
Frequently Asked Questions on LCM of 10241 and 10245
1. What is the LCM of 10241 and 10245?
Answer: LCM of 10241 and 10245 is 104919045.
2. 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.
3. What are the Factors of 10245?
Answer: Factors of 10245 are 1, 3, 5, 15, 683, 2049, 3415, 10245. There are 8 integers that are factors of 10245. The greatest factor of 10245 is 10245.
4. How to Find the LCM of 10241 and 10245?
Answer:
Least Common Multiple of 10241 and 10245 = 104919045
Step 1: Find the prime factorization of 10241
10241 = 7 x 7 x 11 x 19
Step 2: Find the prime factorization of 10245
10245 = 3 x 5 x 683
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 104919045 = 3 x 5 x 7 x 7 x 11 x 19 x 683
Step 4: Therefore, the least common multiple of 10241 and 10245 is 104919045.