Least Common Multiple (LCM) of 186 and 192
The least common multiple (LCM) of 186 and 192 is 5952.
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 192?
First, calculate the GCD of 186 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 192 = 0 remainder 186 |
| 2 | 192 ÷ 186 = 1 remainder 6 |
| 3 | 186 ÷ 6 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 112 | 2128 |
| 18 and 122 | 1098 |
| 30 and 174 | 870 |
| 32 and 144 | 288 |
| 107 and 34 | 3638 |