Least Common Multiple (LCM) of 195 and 11
The least common multiple (LCM) of 195 and 11 is 2145.
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 11?
First, calculate the GCD of 195 and 11 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 11 = 17 remainder 8 |
| 2 | 11 ÷ 8 = 1 remainder 3 |
| 3 | 8 ÷ 3 = 2 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 143 | 1144 |
| 167 and 200 | 33400 |
| 16 and 176 | 176 |
| 186 and 95 | 17670 |
| 80 and 21 | 1680 |