Least Common Multiple (LCM) of 122 and 22
The least common multiple (LCM) of 122 and 22 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 22?
First, calculate the GCD of 122 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 22 = 5 remainder 12 |
| 2 | 22 ÷ 12 = 1 remainder 10 |
| 3 | 12 ÷ 10 = 1 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 118 | 23482 |
| 182 and 171 | 31122 |
| 112 and 191 | 21392 |
| 47 and 161 | 7567 |
| 123 and 65 | 7995 |