Least Common Multiple (LCM) of 94 and 162
The least common multiple (LCM) of 94 and 162 is 7614.
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 162?
First, calculate the GCD of 94 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 162 = 0 remainder 94 |
| 2 | 162 ÷ 94 = 1 remainder 68 |
| 3 | 94 ÷ 68 = 1 remainder 26 |
| 4 | 68 ÷ 26 = 2 remainder 16 |
| 5 | 26 ÷ 16 = 1 remainder 10 |
| 6 | 16 ÷ 10 = 1 remainder 6 |
| 7 | 10 ÷ 6 = 1 remainder 4 |
| 8 | 6 ÷ 4 = 1 remainder 2 |
| 9 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 180 | 5580 |
| 90 and 54 | 270 |
| 59 and 41 | 2419 |
| 14 and 89 | 1246 |
| 168 and 90 | 2520 |