Least Common Multiple (LCM) of 186 and 92
The least common multiple (LCM) of 186 and 92 is 8556.
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 92?
First, calculate the GCD of 186 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 92 = 2 remainder 2 |
| 2 | 92 ÷ 2 = 46 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 98 | 6370 |
| 83 and 98 | 8134 |
| 152 and 99 | 15048 |
| 128 and 70 | 4480 |
| 17 and 177 | 3009 |