Least Common Multiple (LCM) of 146 and 195
The least common multiple (LCM) of 146 and 195 is 28470.
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 146 and 195?
First, calculate the GCD of 146 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 195 = 0 remainder 146 |
| 2 | 195 ÷ 146 = 1 remainder 49 |
| 3 | 146 ÷ 49 = 2 remainder 48 |
| 4 | 49 ÷ 48 = 1 remainder 1 |
| 5 | 48 ÷ 1 = 48 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 195 | 23595 |
| 124 and 105 | 13020 |
| 157 and 88 | 13816 |
| 116 and 160 | 4640 |
| 182 and 18 | 1638 |