Least Common Multiple (LCM) of 194 and 63
The least common multiple (LCM) of 194 and 63 is 12222.
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 63?
First, calculate the GCD of 194 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 63 = 3 remainder 5 |
| 2 | 63 ÷ 5 = 12 remainder 3 |
| 3 | 5 ÷ 3 = 1 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 48 | 336 |
| 133 and 21 | 399 |
| 31 and 178 | 5518 |
| 196 and 130 | 12740 |
| 29 and 27 | 783 |