Least Common Multiple (LCM) of 186 and 132
The least common multiple (LCM) of 186 and 132 is 4092.
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 132?
First, calculate the GCD of 186 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 132 = 1 remainder 54 |
| 2 | 132 ÷ 54 = 2 remainder 24 |
| 3 | 54 ÷ 24 = 2 remainder 6 |
| 4 | 24 ÷ 6 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 100 | 200 |
| 48 and 192 | 192 |
| 135 and 93 | 4185 |
| 129 and 26 | 3354 |
| 102 and 41 | 4182 |