Least Common Multiple (LCM) of 133 and 192
The least common multiple (LCM) of 133 and 192 is 25536.
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 192?
First, calculate the GCD of 133 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 192 = 0 remainder 133 |
| 2 | 192 ÷ 133 = 1 remainder 59 |
| 3 | 133 ÷ 59 = 2 remainder 15 |
| 4 | 59 ÷ 15 = 3 remainder 14 |
| 5 | 15 ÷ 14 = 1 remainder 1 |
| 6 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 137 | 15755 |
| 91 and 144 | 13104 |
| 132 and 114 | 2508 |
| 103 and 34 | 3502 |
| 142 and 88 | 6248 |