Least Common Multiple (LCM) of 186 and 33
The least common multiple (LCM) of 186 and 33 is 2046.
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 33?
First, calculate the GCD of 186 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 33 = 5 remainder 21 |
| 2 | 33 ÷ 21 = 1 remainder 12 |
| 3 | 21 ÷ 12 = 1 remainder 9 |
| 4 | 12 ÷ 9 = 1 remainder 3 |
| 5 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 25 | 3275 |
| 192 and 45 | 2880 |
| 10 and 90 | 90 |
| 194 and 77 | 14938 |
| 146 and 37 | 5402 |