Least Common Multiple (LCM) of 122 and 38
The least common multiple (LCM) of 122 and 38 is 2318.
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 38?
First, calculate the GCD of 122 and 38 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 38 = 3 remainder 8 |
| 2 | 38 ÷ 8 = 4 remainder 6 |
| 3 | 8 ÷ 6 = 1 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 16 | 1520 |
| 128 and 35 | 4480 |
| 188 and 126 | 11844 |
| 63 and 82 | 5166 |
| 179 and 175 | 31325 |