Least Common Multiple (LCM) of 166 and 108
The least common multiple (LCM) of 166 and 108 is 8964.
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 108?
First, calculate the GCD of 166 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 108 = 1 remainder 58 |
| 2 | 108 ÷ 58 = 1 remainder 50 |
| 3 | 58 ÷ 50 = 1 remainder 8 |
| 4 | 50 ÷ 8 = 6 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 54 | 9018 |
| 84 and 151 | 12684 |
| 149 and 15 | 2235 |
| 80 and 13 | 1040 |
| 51 and 50 | 2550 |