Least Common Multiple (LCM) of 166 and 59
The least common multiple (LCM) of 166 and 59 is 9794.
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 59?
First, calculate the GCD of 166 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 59 = 2 remainder 48 |
| 2 | 59 ÷ 48 = 1 remainder 11 |
| 3 | 48 ÷ 11 = 4 remainder 4 |
| 4 | 11 ÷ 4 = 2 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 41 | 4182 |
| 181 and 165 | 29865 |
| 151 and 122 | 18422 |
| 16 and 101 | 1616 |
| 170 and 18 | 1530 |