Least Common Multiple (LCM) of 115 and 146
The least common multiple (LCM) of 115 and 146 is 16790.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 115 and 146?
First, calculate the GCD of 115 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 146 = 0 remainder 115 |
| 2 | 146 ÷ 115 = 1 remainder 31 |
| 3 | 115 ÷ 31 = 3 remainder 22 |
| 4 | 31 ÷ 22 = 1 remainder 9 |
| 5 | 22 ÷ 9 = 2 remainder 4 |
| 6 | 9 ÷ 4 = 2 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 113 | 3842 |
| 174 and 188 | 16356 |
| 29 and 173 | 5017 |
| 97 and 95 | 9215 |
| 41 and 157 | 6437 |