Least Common Multiple (LCM) of 148 and 194
The least common multiple (LCM) of 148 and 194 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 148 and 194?
First, calculate the GCD of 148 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 194 = 0 remainder 148 |
| 2 | 194 ÷ 148 = 1 remainder 46 |
| 3 | 148 ÷ 46 = 3 remainder 10 |
| 4 | 46 ÷ 10 = 4 remainder 6 |
| 5 | 10 ÷ 6 = 1 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 167 | 3006 |
| 45 and 75 | 225 |
| 183 and 169 | 30927 |
| 78 and 164 | 6396 |
| 188 and 183 | 34404 |