Least Common Multiple (LCM) of 187 and 122
The least common multiple (LCM) of 187 and 122 is 22814.
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 187 and 122?
First, calculate the GCD of 187 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 122 = 1 remainder 65 |
| 2 | 122 ÷ 65 = 1 remainder 57 |
| 3 | 65 ÷ 57 = 1 remainder 8 |
| 4 | 57 ÷ 8 = 7 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 138 | 1518 |
| 155 and 114 | 17670 |
| 65 and 89 | 5785 |
| 10 and 105 | 210 |
| 84 and 200 | 4200 |