Least Common Multiple (LCM) of 86 and 121
The least common multiple (LCM) of 86 and 121 is 10406.
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 121?
First, calculate the GCD of 86 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 121 = 0 remainder 86 |
| 2 | 121 ÷ 86 = 1 remainder 35 |
| 3 | 86 ÷ 35 = 2 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 |
|---|---|
| 180 and 22 | 1980 |
| 83 and 146 | 12118 |
| 129 and 68 | 8772 |
| 119 and 117 | 13923 |
| 87 and 58 | 174 |