Least Common Multiple (LCM) of 186 and 106
The least common multiple (LCM) of 186 and 106 is 9858.
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 106?
First, calculate the GCD of 186 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 106 = 1 remainder 80 |
| 2 | 106 ÷ 80 = 1 remainder 26 |
| 3 | 80 ÷ 26 = 3 remainder 2 |
| 4 | 26 ÷ 2 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 192 | 22080 |
| 115 and 35 | 805 |
| 165 and 200 | 6600 |
| 190 and 95 | 190 |
| 187 and 63 | 11781 |