Least Common Multiple (LCM) of 122 and 15
The least common multiple (LCM) of 122 and 15 is 1830.
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 15?
First, calculate the GCD of 122 and 15 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 15 = 8 remainder 2 |
| 2 | 15 ÷ 2 = 7 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 16 | 2064 |
| 119 and 113 | 13447 |
| 26 and 53 | 1378 |
| 185 and 120 | 4440 |
| 11 and 27 | 297 |