Least Common Multiple (LCM) of 186 and 197
The least common multiple (LCM) of 186 and 197 is 36642.
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 186 and 197?
First, calculate the GCD of 186 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 197 = 0 remainder 186 |
| 2 | 197 ÷ 186 = 1 remainder 11 |
| 3 | 186 ÷ 11 = 16 remainder 10 |
| 4 | 11 ÷ 10 = 1 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 84 and 57 | 1596 |
| 16 and 113 | 1808 |
| 67 and 87 | 5829 |
| 108 and 122 | 6588 |
| 15 and 18 | 90 |