Least Common Multiple (LCM) of 115 and 166
The least common multiple (LCM) of 115 and 166 is 19090.
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 166?
First, calculate the GCD of 115 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 166 = 0 remainder 115 |
| 2 | 166 ÷ 115 = 1 remainder 51 |
| 3 | 115 ÷ 51 = 2 remainder 13 |
| 4 | 51 ÷ 13 = 3 remainder 12 |
| 5 | 13 ÷ 12 = 1 remainder 1 |
| 6 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 95 | 1900 |
| 114 and 173 | 19722 |
| 146 and 158 | 11534 |
| 99 and 100 | 9900 |
| 149 and 29 | 4321 |