Least Common Multiple (LCM) of 158 and 195
The least common multiple (LCM) of 158 and 195 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 158 and 195?
First, calculate the GCD of 158 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 195 = 0 remainder 158 |
| 2 | 195 ÷ 158 = 1 remainder 37 |
| 3 | 158 ÷ 37 = 4 remainder 10 |
| 4 | 37 ÷ 10 = 3 remainder 7 |
| 5 | 10 ÷ 7 = 1 remainder 3 |
| 6 | 7 ÷ 3 = 2 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 67 | 12663 |
| 195 and 107 | 20865 |
| 39 and 177 | 2301 |
| 135 and 66 | 2970 |
| 34 and 72 | 1224 |