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 |
|---|---|
| 57 and 136 | 7752 |
| 70 and 42 | 210 |
| 124 and 169 | 20956 |
| 61 and 60 | 3660 |
| 157 and 117 | 18369 |