Least Common Multiple (LCM) of 186 and 94
The least common multiple (LCM) of 186 and 94 is 8742.
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 94?
First, calculate the GCD of 186 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 94 = 1 remainder 92 |
| 2 | 94 ÷ 92 = 1 remainder 2 |
| 3 | 92 ÷ 2 = 46 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 33 | 462 |
| 190 and 135 | 5130 |
| 34 and 17 | 34 |
| 102 and 120 | 2040 |
| 176 and 25 | 4400 |