Least Common Multiple (LCM) of 166 and 197
The least common multiple (LCM) of 166 and 197 is 32702.
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 197?
First, calculate the GCD of 166 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 197 = 0 remainder 166 |
| 2 | 197 ÷ 166 = 1 remainder 31 |
| 3 | 166 ÷ 31 = 5 remainder 11 |
| 4 | 31 ÷ 11 = 2 remainder 9 |
| 5 | 11 ÷ 9 = 1 remainder 2 |
| 6 | 9 ÷ 2 = 4 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 116 | 17284 |
| 199 and 49 | 9751 |
| 56 and 162 | 4536 |
| 32 and 80 | 160 |
| 116 and 78 | 4524 |