Least Common Multiple (LCM) of 186 and 194
The least common multiple (LCM) of 186 and 194 is 18042.
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 194?
First, calculate the GCD of 186 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 194 = 0 remainder 186 |
| 2 | 194 ÷ 186 = 1 remainder 8 |
| 3 | 186 ÷ 8 = 23 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 75 | 975 |
| 21 and 35 | 105 |
| 56 and 15 | 840 |
| 37 and 152 | 5624 |
| 119 and 20 | 2380 |