Least Common Multiple (LCM) of 112 and 122
The least common multiple (LCM) of 112 and 122 is 6832.
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 112 and 122?
First, calculate the GCD of 112 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 112 ÷ 122 = 0 remainder 112 |
| 2 | 122 ÷ 112 = 1 remainder 10 |
| 3 | 112 ÷ 10 = 11 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 50 and 76 | 1900 |
| 168 and 108 | 1512 |
| 68 and 141 | 9588 |
| 197 and 62 | 12214 |
| 186 and 195 | 12090 |