Least Common Multiple (LCM) of 137 and 86
The least common multiple (LCM) of 137 and 86 is 11782.
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 86?
First, calculate the GCD of 137 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 86 = 1 remainder 51 |
| 2 | 86 ÷ 51 = 1 remainder 35 |
| 3 | 51 ÷ 35 = 1 remainder 16 |
| 4 | 35 ÷ 16 = 2 remainder 3 |
| 5 | 16 ÷ 3 = 5 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 179 | 30609 |
| 134 and 138 | 9246 |
| 58 and 153 | 8874 |
| 186 and 105 | 6510 |
| 180 and 115 | 4140 |