Least Common Multiple (LCM) of 122 and 186
The least common multiple (LCM) of 122 and 186 is 11346.
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 122 and 186?
First, calculate the GCD of 122 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 186 = 0 remainder 122 |
| 2 | 186 ÷ 122 = 1 remainder 64 |
| 3 | 122 ÷ 64 = 1 remainder 58 |
| 4 | 64 ÷ 58 = 1 remainder 6 |
| 5 | 58 ÷ 6 = 9 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 174 | 6438 |
| 122 and 42 | 2562 |
| 21 and 144 | 1008 |
| 185 and 78 | 14430 |
| 157 and 190 | 29830 |