Least Common Multiple (LCM) of 166 and 106
The least common multiple (LCM) of 166 and 106 is 8798.
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 106?
First, calculate the GCD of 166 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 106 = 1 remainder 60 |
| 2 | 106 ÷ 60 = 1 remainder 46 |
| 3 | 60 ÷ 46 = 1 remainder 14 |
| 4 | 46 ÷ 14 = 3 remainder 4 |
| 5 | 14 ÷ 4 = 3 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 97 | 1649 |
| 114 and 26 | 1482 |
| 33 and 13 | 429 |
| 156 and 69 | 3588 |
| 87 and 130 | 11310 |