Least Common Multiple (LCM) of 194 and 163
The least common multiple (LCM) of 194 and 163 is 31622.
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 163?
First, calculate the GCD of 194 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 163 = 1 remainder 31 |
| 2 | 163 ÷ 31 = 5 remainder 8 |
| 3 | 31 ÷ 8 = 3 remainder 7 |
| 4 | 8 ÷ 7 = 1 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 99 | 3762 |
| 26 and 116 | 1508 |
| 108 and 35 | 3780 |
| 47 and 96 | 4512 |
| 172 and 90 | 7740 |