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 |
|---|---|
| 185 and 28 | 5180 |
| 123 and 95 | 11685 |
| 170 and 149 | 25330 |
| 199 and 75 | 14925 |
| 64 and 140 | 2240 |