Least Common Multiple (LCM) of 166 and 196
The least common multiple (LCM) of 166 and 196 is 16268.
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 196?
First, calculate the GCD of 166 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 196 = 0 remainder 166 |
| 2 | 196 ÷ 166 = 1 remainder 30 |
| 3 | 166 ÷ 30 = 5 remainder 16 |
| 4 | 30 ÷ 16 = 1 remainder 14 |
| 5 | 16 ÷ 14 = 1 remainder 2 |
| 6 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 137 | 6165 |
| 129 and 69 | 2967 |
| 53 and 33 | 1749 |
| 82 and 173 | 14186 |
| 116 and 142 | 8236 |