Least Common Multiple (LCM) of 166 and 126
The least common multiple (LCM) of 166 and 126 is 10458.
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 126?
First, calculate the GCD of 166 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 126 = 1 remainder 40 |
| 2 | 126 ÷ 40 = 3 remainder 6 |
| 3 | 40 ÷ 6 = 6 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 20 | 120 |
| 168 and 196 | 1176 |
| 146 and 51 | 7446 |
| 15 and 142 | 2130 |
| 167 and 175 | 29225 |