Least Common Multiple (LCM) of 166 and 194
The least common multiple (LCM) of 166 and 194 is 16102.
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 194?
First, calculate the GCD of 166 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 194 = 0 remainder 166 |
| 2 | 194 ÷ 166 = 1 remainder 28 |
| 3 | 166 ÷ 28 = 5 remainder 26 |
| 4 | 28 ÷ 26 = 1 remainder 2 |
| 5 | 26 ÷ 2 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 74 and 25 | 1850 |
| 80 and 108 | 2160 |
| 160 and 53 | 8480 |
| 73 and 39 | 2847 |
| 144 and 193 | 27792 |