Least Common Multiple (LCM) of 22 and 199
The least common multiple (LCM) of 22 and 199 is 4378.
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 22 and 199?
First, calculate the GCD of 22 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 22 ÷ 199 = 0 remainder 22 |
| 2 | 199 ÷ 22 = 9 remainder 1 |
| 3 | 22 ÷ 1 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 58 | 3538 |
| 134 and 29 | 3886 |
| 121 and 183 | 22143 |
| 158 and 56 | 4424 |
| 165 and 155 | 5115 |