Least Common Multiple (LCM) of 122 and 10
The least common multiple (LCM) of 122 and 10 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 122 and 10?
First, calculate the GCD of 122 and 10 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 10 = 12 remainder 2 |
| 2 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 68 | 2652 |
| 17 and 144 | 2448 |
| 162 and 151 | 24462 |
| 100 and 89 | 8900 |
| 58 and 78 | 2262 |