Least Common Multiple of 10115 and 10122
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10115 and 10122 the smallest integer that is 14626290 that is divisible by both numbers.
Least Common Multiple (LCM) of 10115 and 10122 is 14626290.
LCM(10115,10122) = 14626290
LCM of 10115 and 10122
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10115 and 10122 by Prime method
- Least Common Multiple of 10115 and 10122 with GCF Formula
LCM of 10115 and 10122 is 14626290
Least common multiple can be found by multiplying the highest exponent prime factors of 10115 and 10122. First we will calculate the prime factors of 10115 and 10122.
Prime Factorization of 10115
| 5 | 10115 |
| 7 | 2023 |
| 17 | 289 |
| 17 | 17 |
| 1 |
Prime factors of 10115 are 5, 7,17. Prime factorization of 10115 in exponential form is:
10115 = 51×71×172
Prime Factorization of 10122
| 2 | 10122 |
| 3 | 5061 |
| 7 | 1687 |
| 241 | 241 |
| 1 |
Prime factors of 10122 are 2, 3, 7,241. Prime factorization of 10122 in exponential form is:
10122 = 21×31×71×2411
Now multiplying the highest exponent prime factors to calculate the LCM of 10115 and 10122.
LCM(10115,10122) = 21×31×51×71×172×2411
LCM(10115,10122) = 14626290
Factors of 10115
List of positive integer factors of 10115 that divides 10115 without a remainder.
1, 5, 7, 17, 35, 85, 119, 289, 595, 1445, 2023, 10115
Factors of 10122
List of positive integer factors of 10122 that divides 10122 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 241, 482, 723, 1446, 1687, 3374, 5061, 10122
Least Common Multiple of 10115 and 10122 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10115 and 10122, than apply into the LCM equation.
GCF(10115,10122) = 7
LCM(10115,10122) = ( 10115 × 10122) / 7
LCM(10115,10122) = 102384030 / 7
LCM(10115,10122) = 14626290
Properties of LCM 10115 and 10122
(i) The LCM of 10122 and 10115 is associative
LCM of 10115 and 10122 = LCM of 10122 and 10115
Related Least Common Multiples of 10115
Related Least Common Multiples of 10122
Frequently Asked Questions on LCM of 10115 and 10122
1. What is the LCM of 10115 and 10122?
Answer: LCM of 10115 and 10122 is 14626290.
2. What are the Factors of 10115?
Answer: Factors of 10115 are 1, 5, 7, 17, 35, 85, 119, 289, 595, 1445, 2023, 10115. There are 12 integers that are factors of 10115. The greatest factor of 10115 is 10115.
3. What are the Factors of 10122?
Answer: Factors of 10122 are 1, 2, 3, 6, 7, 14, 21, 42, 241, 482, 723, 1446, 1687, 3374, 5061, 10122. There are 16 integers that are factors of 10122. The greatest factor of 10122 is 10122.
4. How to Find the LCM of 10115 and 10122?
Answer:
Least Common Multiple of 10115 and 10122 = 14626290
Step 1: Find the prime factorization of 10115
10115 = 5 x 7 x 17 x 17
Step 2: Find the prime factorization of 10122
10122 = 2 x 3 x 7 x 241
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14626290 = 2 x 3 x 5 x 7 x 17 x 17 x 241
Step 4: Therefore, the least common multiple of 10115 and 10122 is 14626290.