Least Common Multiple (LCM) of 166 and 195
The least common multiple (LCM) of 166 and 195 is 32370.
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 166 and 195?
First, calculate the GCD of 166 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 195 = 0 remainder 166 |
| 2 | 195 ÷ 166 = 1 remainder 29 |
| 3 | 166 ÷ 29 = 5 remainder 21 |
| 4 | 29 ÷ 21 = 1 remainder 8 |
| 5 | 21 ÷ 8 = 2 remainder 5 |
| 6 | 8 ÷ 5 = 1 remainder 3 |
| 7 | 5 ÷ 3 = 1 remainder 2 |
| 8 | 3 ÷ 2 = 1 remainder 1 |
| 9 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 103 | 10712 |
| 181 and 53 | 9593 |
| 68 and 24 | 408 |
| 70 and 30 | 210 |
| 81 and 32 | 2592 |