Least Common Multiple (LCM) of 986 and 226
The least common multiple (LCM) of 986 and 226 is 111418.
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 986 and 226?
First, calculate the GCD of 986 and 226 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 986 ÷ 226 = 4 remainder 82 |
| 2 | 226 ÷ 82 = 2 remainder 62 |
| 3 | 82 ÷ 62 = 1 remainder 20 |
| 4 | 62 ÷ 20 = 3 remainder 2 |
| 5 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 92 | 6532 |
| 172 and 22 | 1892 |
| 160 and 86 | 6880 |
| 160 and 39 | 6240 |
| 156 and 101 | 15756 |