Least Common Multiple (LCM) of 195 and 162
The least common multiple (LCM) of 195 and 162 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 195 and 162?
First, calculate the GCD of 195 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 162 = 1 remainder 33 |
| 2 | 162 ÷ 33 = 4 remainder 30 |
| 3 | 33 ÷ 30 = 1 remainder 3 |
| 4 | 30 ÷ 3 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 155 | 6510 |
| 95 and 117 | 11115 |
| 141 and 188 | 564 |
| 93 and 172 | 15996 |
| 182 and 143 | 2002 |