Least Common Multiple (LCM) of 133 and 148
The least common multiple (LCM) of 133 and 148 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 133 and 148?
First, calculate the GCD of 133 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 148 = 0 remainder 133 |
| 2 | 148 ÷ 133 = 1 remainder 15 |
| 3 | 133 ÷ 15 = 8 remainder 13 |
| 4 | 15 ÷ 13 = 1 remainder 2 |
| 5 | 13 ÷ 2 = 6 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 157 | 5181 |
| 46 and 60 | 1380 |
| 173 and 137 | 23701 |
| 106 and 68 | 3604 |
| 30 and 99 | 990 |