Least Common Multiple (LCM) of 121 and 86
The least common multiple (LCM) of 121 and 86 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 121 and 86?
First, calculate the GCD of 121 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 86 = 1 remainder 35 |
| 2 | 86 ÷ 35 = 2 remainder 16 |
| 3 | 35 ÷ 16 = 2 remainder 3 |
| 4 | 16 ÷ 3 = 5 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 145 | 3915 |
| 152 and 81 | 12312 |
| 61 and 45 | 2745 |
| 49 and 107 | 5243 |
| 109 and 112 | 12208 |