Least Common Multiple (LCM) of 94 and 161
The least common multiple (LCM) of 94 and 161 is 15134.
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 94 and 161?
First, calculate the GCD of 94 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 161 = 0 remainder 94 |
| 2 | 161 ÷ 94 = 1 remainder 67 |
| 3 | 94 ÷ 67 = 1 remainder 27 |
| 4 | 67 ÷ 27 = 2 remainder 13 |
| 5 | 27 ÷ 13 = 2 remainder 1 |
| 6 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 189 | 2457 |
| 11 and 156 | 1716 |
| 157 and 111 | 17427 |
| 56 and 109 | 6104 |
| 46 and 142 | 3266 |