Least Common Multiple (LCM) of 162 and 95
The least common multiple (LCM) of 162 and 95 is 15390.
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 95?
First, calculate the GCD of 162 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 95 = 1 remainder 67 |
| 2 | 95 ÷ 67 = 1 remainder 28 |
| 3 | 67 ÷ 28 = 2 remainder 11 |
| 4 | 28 ÷ 11 = 2 remainder 6 |
| 5 | 11 ÷ 6 = 1 remainder 5 |
| 6 | 6 ÷ 5 = 1 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 55 | 165 |
| 179 and 82 | 14678 |
| 150 and 45 | 450 |
| 80 and 25 | 400 |
| 107 and 184 | 19688 |