Least Common Multiple (LCM) of 132 and 186
The least common multiple (LCM) of 132 and 186 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 132 and 186?
First, calculate the GCD of 132 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 186 = 0 remainder 132 |
| 2 | 186 ÷ 132 = 1 remainder 54 |
| 3 | 132 ÷ 54 = 2 remainder 24 |
| 4 | 54 ÷ 24 = 2 remainder 6 |
| 5 | 24 ÷ 6 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 68 and 82 | 2788 |
| 144 and 141 | 6768 |
| 161 and 145 | 23345 |
| 67 and 69 | 4623 |
| 130 and 158 | 10270 |