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 |
|---|---|
| 165 and 130 | 4290 |
| 18 and 118 | 1062 |
| 155 and 171 | 26505 |
| 149 and 95 | 14155 |
| 156 and 75 | 3900 |