Least Common Multiple (LCM) of 137 and 133
The least common multiple (LCM) of 137 and 133 is 18221.
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 137 and 133?
First, calculate the GCD of 137 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 133 = 1 remainder 4 |
| 2 | 133 ÷ 4 = 33 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 105 | 945 |
| 75 and 85 | 1275 |
| 22 and 94 | 1034 |
| 122 and 63 | 7686 |
| 194 and 62 | 6014 |