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 |
|---|---|
| 120 and 13 | 1560 |
| 141 and 98 | 13818 |
| 115 and 153 | 17595 |
| 115 and 114 | 13110 |
| 192 and 162 | 5184 |