Least Common Multiple (LCM) of 185 and 122
The least common multiple (LCM) of 185 and 122 is 22570.
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 185 and 122?
First, calculate the GCD of 185 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 122 = 1 remainder 63 |
| 2 | 122 ÷ 63 = 1 remainder 59 |
| 3 | 63 ÷ 59 = 1 remainder 4 |
| 4 | 59 ÷ 4 = 14 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 80 | 2640 |
| 195 and 82 | 15990 |
| 103 and 143 | 14729 |
| 85 and 64 | 5440 |
| 186 and 56 | 5208 |