Least Common Multiple (LCM) of 108 and 166
The least common multiple (LCM) of 108 and 166 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 108 and 166?
First, calculate the GCD of 108 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 108 ÷ 166 = 0 remainder 108 |
| 2 | 166 ÷ 108 = 1 remainder 58 |
| 3 | 108 ÷ 58 = 1 remainder 50 |
| 4 | 58 ÷ 50 = 1 remainder 8 |
| 5 | 50 ÷ 8 = 6 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 44 | 220 |
| 92 and 131 | 12052 |
| 140 and 196 | 980 |
| 184 and 51 | 9384 |
| 114 and 45 | 1710 |