Least Common Multiple (LCM) of 10 and 122
The least common multiple (LCM) of 10 and 122 is 610.
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 10 and 122?
First, calculate the GCD of 10 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 10 ÷ 122 = 0 remainder 10 |
| 2 | 122 ÷ 10 = 12 remainder 2 |
| 3 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 135 | 7965 |
| 195 and 35 | 1365 |
| 38 and 38 | 38 |
| 60 and 83 | 4980 |
| 83 and 32 | 2656 |