Least Common Multiple (LCM) of 133 and 86
The least common multiple (LCM) of 133 and 86 is 11438.
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 133 and 86?
First, calculate the GCD of 133 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 86 = 1 remainder 47 |
| 2 | 86 ÷ 47 = 1 remainder 39 |
| 3 | 47 ÷ 39 = 1 remainder 8 |
| 4 | 39 ÷ 8 = 4 remainder 7 |
| 5 | 8 ÷ 7 = 1 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 76 | 8892 |
| 112 and 64 | 448 |
| 34 and 172 | 2924 |
| 78 and 51 | 1326 |
| 14 and 33 | 462 |