Least Common Multiple (LCM) of 194 and 148
The least common multiple (LCM) of 194 and 148 is 14356.
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 194 and 148?
First, calculate the GCD of 194 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 148 = 1 remainder 46 |
| 2 | 148 ÷ 46 = 3 remainder 10 |
| 3 | 46 ÷ 10 = 4 remainder 6 |
| 4 | 10 ÷ 6 = 1 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 50 | 50 |
| 102 and 23 | 2346 |
| 174 and 190 | 16530 |
| 180 and 198 | 1980 |
| 193 and 78 | 15054 |