Least Common Multiple (LCM) of 133 and 166
The least common multiple (LCM) of 133 and 166 is 22078.
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 166?
First, calculate the GCD of 133 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 166 = 0 remainder 133 |
| 2 | 166 ÷ 133 = 1 remainder 33 |
| 3 | 133 ÷ 33 = 4 remainder 1 |
| 4 | 33 ÷ 1 = 33 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 42 | 3612 |
| 33 and 137 | 4521 |
| 178 and 11 | 1958 |
| 96 and 102 | 1632 |
| 199 and 44 | 8756 |