Least Common Multiple (LCM) of 86 and 136
The least common multiple (LCM) of 86 and 136 is 5848.
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 86 and 136?
First, calculate the GCD of 86 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 136 = 0 remainder 86 |
| 2 | 136 ÷ 86 = 1 remainder 50 |
| 3 | 86 ÷ 50 = 1 remainder 36 |
| 4 | 50 ÷ 36 = 1 remainder 14 |
| 5 | 36 ÷ 14 = 2 remainder 8 |
| 6 | 14 ÷ 8 = 1 remainder 6 |
| 7 | 8 ÷ 6 = 1 remainder 2 |
| 8 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 85 | 4080 |
| 74 and 149 | 11026 |
| 122 and 180 | 10980 |
| 128 and 85 | 10880 |
| 144 and 122 | 8784 |