Least Common Multiple (LCM) of 111 and 122
The least common multiple (LCM) of 111 and 122 is 13542.
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 111 and 122?
First, calculate the GCD of 111 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 122 = 0 remainder 111 |
| 2 | 122 ÷ 111 = 1 remainder 11 |
| 3 | 111 ÷ 11 = 10 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 85 | 15045 |
| 59 and 66 | 3894 |
| 43 and 123 | 5289 |
| 110 and 18 | 990 |
| 162 and 101 | 16362 |