Least Common Multiple (LCM) of 38 and 133
The least common multiple (LCM) of 38 and 133 is 266.
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 38 and 133?
First, calculate the GCD of 38 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 38 ÷ 133 = 0 remainder 38 |
| 2 | 133 ÷ 38 = 3 remainder 19 |
| 3 | 38 ÷ 19 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 164 | 29028 |
| 11 and 56 | 616 |
| 195 and 15 | 195 |
| 157 and 189 | 29673 |
| 176 and 48 | 528 |