Least Common Multiple (LCM) of 97 and 186
The least common multiple (LCM) of 97 and 186 is 18042.
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 97 and 186?
First, calculate the GCD of 97 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 186 = 0 remainder 97 |
| 2 | 186 ÷ 97 = 1 remainder 89 |
| 3 | 97 ÷ 89 = 1 remainder 8 |
| 4 | 89 ÷ 8 = 11 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 50 and 174 | 4350 |
| 199 and 16 | 3184 |
| 189 and 59 | 11151 |
| 162 and 194 | 15714 |
| 12 and 82 | 492 |