Least Common Multiple (LCM) of 148 and 133
The least common multiple (LCM) of 148 and 133 is 19684.
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 133?
First, calculate the GCD of 148 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 133 = 1 remainder 15 |
| 2 | 133 ÷ 15 = 8 remainder 13 |
| 3 | 15 ÷ 13 = 1 remainder 2 |
| 4 | 13 ÷ 2 = 6 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 51 | 561 |
| 118 and 199 | 23482 |
| 168 and 90 | 2520 |
| 97 and 19 | 1843 |
| 189 and 54 | 378 |