Least Common Multiple (LCM) of 187 and 133
The least common multiple (LCM) of 187 and 133 is 24871.
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 187 and 133?
First, calculate the GCD of 187 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 133 = 1 remainder 54 |
| 2 | 133 ÷ 54 = 2 remainder 25 |
| 3 | 54 ÷ 25 = 2 remainder 4 |
| 4 | 25 ÷ 4 = 6 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 61 | 6405 |
| 10 and 118 | 590 |
| 160 and 53 | 8480 |
| 103 and 128 | 13184 |
| 71 and 37 | 2627 |