Least Common Multiple (LCM) of 195 and 158
The least common multiple (LCM) of 195 and 158 is 30810.
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 158?
First, calculate the GCD of 195 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 158 = 1 remainder 37 |
| 2 | 158 ÷ 37 = 4 remainder 10 |
| 3 | 37 ÷ 10 = 3 remainder 7 |
| 4 | 10 ÷ 7 = 1 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 172 | 2236 |
| 186 and 152 | 14136 |
| 83 and 108 | 8964 |
| 29 and 123 | 3567 |
| 11 and 194 | 2134 |