Least Common Multiple (LCM) of 137 and 82
The least common multiple (LCM) of 137 and 82 is 11234.
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 82?
First, calculate the GCD of 137 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 82 = 1 remainder 55 |
| 2 | 82 ÷ 55 = 1 remainder 27 |
| 3 | 55 ÷ 27 = 2 remainder 1 |
| 4 | 27 ÷ 1 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 167 | 9185 |
| 25 and 64 | 1600 |
| 12 and 32 | 96 |
| 149 and 193 | 28757 |
| 102 and 64 | 3264 |