Least Common Multiple (LCM) of 126 and 166
The least common multiple (LCM) of 126 and 166 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 126 and 166?
First, calculate the GCD of 126 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 166 = 0 remainder 126 |
| 2 | 166 ÷ 126 = 1 remainder 40 |
| 3 | 126 ÷ 40 = 3 remainder 6 |
| 4 | 40 ÷ 6 = 6 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 182 | 20566 |
| 185 and 118 | 21830 |
| 135 and 162 | 810 |
| 30 and 46 | 690 |
| 150 and 131 | 19650 |