Least Common Multiple (LCM) of 186 and 122
The least common multiple (LCM) of 186 and 122 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 186 and 122?
First, calculate the GCD of 186 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 122 = 1 remainder 64 |
| 2 | 122 ÷ 64 = 1 remainder 58 |
| 3 | 64 ÷ 58 = 1 remainder 6 |
| 4 | 58 ÷ 6 = 9 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 74 | 518 |
| 91 and 106 | 9646 |
| 16 and 87 | 1392 |
| 104 and 102 | 5304 |
| 71 and 30 | 2130 |