Least Common Multiple (LCM) of 199 and 193
The least common multiple (LCM) of 199 and 193 is 38407.
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 199 and 193?
First, calculate the GCD of 199 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 199 ÷ 193 = 1 remainder 6 |
| 2 | 193 ÷ 6 = 32 remainder 1 |
| 3 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 171 | 20178 |
| 64 and 109 | 6976 |
| 198 and 161 | 31878 |
| 94 and 42 | 1974 |
| 60 and 56 | 840 |