Least Common Multiple (LCM) of 166 and 134
The least common multiple (LCM) of 166 and 134 is 11122.
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 134?
First, calculate the GCD of 166 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 134 = 1 remainder 32 |
| 2 | 134 ÷ 32 = 4 remainder 6 |
| 3 | 32 ÷ 6 = 5 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 21 | 3696 |
| 126 and 153 | 2142 |
| 29 and 193 | 5597 |
| 123 and 19 | 2337 |
| 108 and 143 | 15444 |