Least Common Multiple (LCM) of 162 and 94
The least common multiple (LCM) of 162 and 94 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 162 and 94?
First, calculate the GCD of 162 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 94 = 1 remainder 68 |
| 2 | 94 ÷ 68 = 1 remainder 26 |
| 3 | 68 ÷ 26 = 2 remainder 16 |
| 4 | 26 ÷ 16 = 1 remainder 10 |
| 5 | 16 ÷ 10 = 1 remainder 6 |
| 6 | 10 ÷ 6 = 1 remainder 4 |
| 7 | 6 ÷ 4 = 1 remainder 2 |
| 8 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 172 | 2064 |
| 193 and 45 | 8685 |
| 165 and 152 | 25080 |
| 63 and 78 | 1638 |
| 102 and 36 | 612 |