Least Common Multiple (LCM) of 194 and 20
The least common multiple (LCM) of 194 and 20 is 1940.
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 194 and 20?
First, calculate the GCD of 194 and 20 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 20 = 9 remainder 14 |
| 2 | 20 ÷ 14 = 1 remainder 6 |
| 3 | 14 ÷ 6 = 2 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 88 | 8888 |
| 107 and 199 | 21293 |
| 166 and 148 | 12284 |
| 197 and 178 | 35066 |
| 186 and 88 | 8184 |