Least Common Multiple (LCM) of 196 and 166
The least common multiple (LCM) of 196 and 166 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 196 and 166?
First, calculate the GCD of 196 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 166 = 1 remainder 30 |
| 2 | 166 ÷ 30 = 5 remainder 16 |
| 3 | 30 ÷ 16 = 1 remainder 14 |
| 4 | 16 ÷ 14 = 1 remainder 2 |
| 5 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 141 | 705 |
| 158 and 70 | 5530 |
| 113 and 158 | 17854 |
| 122 and 154 | 9394 |
| 55 and 198 | 990 |