Least Common Multiple (LCM) of 162 and 194
The least common multiple (LCM) of 162 and 194 is 15714.
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 162 and 194?
First, calculate the GCD of 162 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 194 = 0 remainder 162 |
| 2 | 194 ÷ 162 = 1 remainder 32 |
| 3 | 162 ÷ 32 = 5 remainder 2 |
| 4 | 32 ÷ 2 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 121 | 13068 |
| 81 and 36 | 324 |
| 49 and 89 | 4361 |
| 189 and 92 | 17388 |
| 165 and 76 | 12540 |