Least Common Multiple (LCM) of 162 and 195
The least common multiple (LCM) of 162 and 195 is 10530.
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 195?
First, calculate the GCD of 162 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 195 = 0 remainder 162 |
| 2 | 195 ÷ 162 = 1 remainder 33 |
| 3 | 162 ÷ 33 = 4 remainder 30 |
| 4 | 33 ÷ 30 = 1 remainder 3 |
| 5 | 30 ÷ 3 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 42 | 2394 |
| 115 and 90 | 2070 |
| 174 and 142 | 12354 |
| 176 and 17 | 2992 |
| 122 and 177 | 21594 |