Least Common Multiple (LCM) of 166 and 57
The least common multiple (LCM) of 166 and 57 is 9462.
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 57?
First, calculate the GCD of 166 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 57 = 2 remainder 52 |
| 2 | 57 ÷ 52 = 1 remainder 5 |
| 3 | 52 ÷ 5 = 10 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 85 | 255 |
| 100 and 64 | 1600 |
| 50 and 172 | 4300 |
| 29 and 58 | 58 |
| 62 and 145 | 8990 |