Least Common Multiple (LCM) of 161 and 194
The least common multiple (LCM) of 161 and 194 is 31234.
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 161 and 194?
First, calculate the GCD of 161 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 194 = 0 remainder 161 |
| 2 | 194 ÷ 161 = 1 remainder 33 |
| 3 | 161 ÷ 33 = 4 remainder 29 |
| 4 | 33 ÷ 29 = 1 remainder 4 |
| 5 | 29 ÷ 4 = 7 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 102 | 918 |
| 80 and 78 | 3120 |
| 91 and 146 | 13286 |
| 199 and 10 | 1990 |
| 186 and 141 | 8742 |