Least Common Multiple (LCM) of 166 and 191
The least common multiple (LCM) of 166 and 191 is 31706.
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 191?
First, calculate the GCD of 166 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 191 = 0 remainder 166 |
| 2 | 191 ÷ 166 = 1 remainder 25 |
| 3 | 166 ÷ 25 = 6 remainder 16 |
| 4 | 25 ÷ 16 = 1 remainder 9 |
| 5 | 16 ÷ 9 = 1 remainder 7 |
| 6 | 9 ÷ 7 = 1 remainder 2 |
| 7 | 7 ÷ 2 = 3 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 57 | 285 |
| 78 and 186 | 2418 |
| 167 and 75 | 12525 |
| 160 and 199 | 31840 |
| 128 and 23 | 2944 |