Least Common Multiple (LCM) of 132 and 86
The least common multiple (LCM) of 132 and 86 is 5676.
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 86?
First, calculate the GCD of 132 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 86 = 1 remainder 46 |
| 2 | 86 ÷ 46 = 1 remainder 40 |
| 3 | 46 ÷ 40 = 1 remainder 6 |
| 4 | 40 ÷ 6 = 6 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 92 and 45 | 4140 |
| 149 and 137 | 20413 |
| 134 and 125 | 16750 |
| 183 and 130 | 23790 |
| 187 and 80 | 14960 |