Least Common Multiple (LCM) of 133 and 199
The least common multiple (LCM) of 133 and 199 is 26467.
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 199?
First, calculate the GCD of 133 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 199 = 0 remainder 133 |
| 2 | 199 ÷ 133 = 1 remainder 66 |
| 3 | 133 ÷ 66 = 2 remainder 1 |
| 4 | 66 ÷ 1 = 66 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 99 | 3762 |
| 158 and 27 | 4266 |
| 166 and 180 | 14940 |
| 52 and 59 | 3068 |
| 31 and 101 | 3131 |