Least Common Multiple (LCM) of 133 and 87
The least common multiple (LCM) of 133 and 87 is 11571.
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 87?
First, calculate the GCD of 133 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 87 = 1 remainder 46 |
| 2 | 87 ÷ 46 = 1 remainder 41 |
| 3 | 46 ÷ 41 = 1 remainder 5 |
| 4 | 41 ÷ 5 = 8 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 105 | 19740 |
| 122 and 83 | 10126 |
| 27 and 50 | 1350 |
| 135 and 165 | 1485 |
| 132 and 179 | 23628 |