Least Common Multiple of 10115 and 10123
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 10123 the smallest integer that is 102394145 that is divisible by both numbers.
Least Common Multiple (LCM) of 10115 and 10123 is 102394145.
LCM(10115,10123) = 102394145
LCM of 10115 and 10123
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10115 and 10123 by Prime method
- Least Common Multiple of 10115 and 10123 with GCF Formula
LCM of 10115 and 10123 is 102394145
Least common multiple can be found by multiplying the highest exponent prime factors of 10115 and 10123. First we will calculate the prime factors of 10115 and 10123.
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 10123
| 53 | 10123 |
| 191 | 191 |
| 1 |
Prime factors of 10123 are 53,191. Prime factorization of 10123 in exponential form is:
10123 = 531×1911
Now multiplying the highest exponent prime factors to calculate the LCM of 10115 and 10123.
LCM(10115,10123) = 51×71×172×531×1911
LCM(10115,10123) = 102394145
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 10123
List of positive integer factors of 10123 that divides 10123 without a remainder.
1, 53, 191, 10123
Least Common Multiple of 10115 and 10123 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 10123, than apply into the LCM equation.
GCF(10115,10123) = 1
LCM(10115,10123) = ( 10115 × 10123) / 1
LCM(10115,10123) = 102394145 / 1
LCM(10115,10123) = 102394145
Properties of LCM 10115 and 10123
(i) The LCM of 10123 and 10115 is associative
LCM of 10115 and 10123 = LCM of 10123 and 10115
Related Least Common Multiples of 10115
Related Least Common Multiples of 10123
Frequently Asked Questions on LCM of 10115 and 10123
1. What is the LCM of 10115 and 10123?
Answer: LCM of 10115 and 10123 is 102394145.
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 10123?
Answer: Factors of 10123 are 1, 53, 191, 10123. There are 4 integers that are factors of 10123. The greatest factor of 10123 is 10123.
4. How to Find the LCM of 10115 and 10123?
Answer:
Least Common Multiple of 10115 and 10123 = 102394145
Step 1: Find the prime factorization of 10115
10115 = 5 x 7 x 17 x 17
Step 2: Find the prime factorization of 10123
10123 = 53 x 191
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 102394145 = 5 x 7 x 17 x 17 x 53 x 191
Step 4: Therefore, the least common multiple of 10115 and 10123 is 102394145.