Least Common Multiple (LCM) of 166 and 133
The least common multiple (LCM) of 166 and 133 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 166 and 133?
First, calculate the GCD of 166 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 133 = 1 remainder 33 |
| 2 | 133 ÷ 33 = 4 remainder 1 |
| 3 | 33 ÷ 1 = 33 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 137 | 25071 |
| 35 and 117 | 4095 |
| 105 and 24 | 840 |
| 39 and 105 | 1365 |
| 177 and 124 | 21948 |