Least Common Multiple (LCM) of 148 and 199
The least common multiple (LCM) of 148 and 199 is 29452.
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 199?
First, calculate the GCD of 148 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 199 = 0 remainder 148 |
| 2 | 199 ÷ 148 = 1 remainder 51 |
| 3 | 148 ÷ 51 = 2 remainder 46 |
| 4 | 51 ÷ 46 = 1 remainder 5 |
| 5 | 46 ÷ 5 = 9 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 34 | 1360 |
| 91 and 176 | 16016 |
| 56 and 112 | 112 |
| 58 and 146 | 4234 |
| 74 and 134 | 4958 |