Least Common Multiple (LCM) of 195 and 111
The least common multiple (LCM) of 195 and 111 is 7215.
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 111?
First, calculate the GCD of 195 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 111 = 1 remainder 84 |
| 2 | 111 ÷ 84 = 1 remainder 27 |
| 3 | 84 ÷ 27 = 3 remainder 3 |
| 4 | 27 ÷ 3 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 161 | 17227 |
| 88 and 170 | 7480 |
| 164 and 91 | 14924 |
| 192 and 75 | 4800 |
| 43 and 102 | 4386 |