Least Common Multiple (LCM) of 186 and 196
The least common multiple (LCM) of 186 and 196 is 18228.
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 196?
First, calculate the GCD of 186 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 196 = 0 remainder 186 |
| 2 | 196 ÷ 186 = 1 remainder 10 |
| 3 | 186 ÷ 10 = 18 remainder 6 |
| 4 | 10 ÷ 6 = 1 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 180 | 540 |
| 89 and 40 | 3560 |
| 73 and 58 | 4234 |
| 87 and 49 | 4263 |
| 162 and 133 | 21546 |