Least Common Multiple (LCM) of 195 and 69
The least common multiple (LCM) of 195 and 69 is 4485.
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 69?
First, calculate the GCD of 195 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 69 = 2 remainder 57 |
| 2 | 69 ÷ 57 = 1 remainder 12 |
| 3 | 57 ÷ 12 = 4 remainder 9 |
| 4 | 12 ÷ 9 = 1 remainder 3 |
| 5 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 182 | 15106 |
| 131 and 183 | 23973 |
| 198 and 174 | 5742 |
| 182 and 177 | 32214 |
| 28 and 140 | 140 |