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 |
|---|---|
| 171 and 114 | 342 |
| 37 and 132 | 4884 |
| 192 and 60 | 960 |
| 200 and 53 | 10600 |
| 103 and 21 | 2163 |