Least Common Multiple (LCM) of 122 and 11
The least common multiple (LCM) of 122 and 11 is 1342.
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 11?
First, calculate the GCD of 122 and 11 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 11 = 11 remainder 1 |
| 2 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 71 | 12425 |
| 11 and 153 | 1683 |
| 30 and 103 | 3090 |
| 194 and 10 | 970 |
| 10 and 23 | 230 |