Least Common Multiple (LCM) of 133 and 187
The least common multiple (LCM) of 133 and 187 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 133 and 187?
First, calculate the GCD of 133 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 187 = 0 remainder 133 |
| 2 | 187 ÷ 133 = 1 remainder 54 |
| 3 | 133 ÷ 54 = 2 remainder 25 |
| 4 | 54 ÷ 25 = 2 remainder 4 |
| 5 | 25 ÷ 4 = 6 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 60 | 540 |
| 142 and 108 | 7668 |
| 149 and 100 | 14900 |
| 119 and 171 | 20349 |
| 132 and 117 | 5148 |