Least Common Multiple (LCM) of 195 and 164
The least common multiple (LCM) of 195 and 164 is 31980.
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 164?
First, calculate the GCD of 195 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 164 = 1 remainder 31 |
| 2 | 164 ÷ 31 = 5 remainder 9 |
| 3 | 31 ÷ 9 = 3 remainder 4 |
| 4 | 9 ÷ 4 = 2 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 195 | 2730 |
| 135 and 144 | 2160 |
| 125 and 93 | 11625 |
| 170 and 176 | 14960 |
| 163 and 183 | 29829 |