Least Common Multiple (LCM) of 147 and 194
The least common multiple (LCM) of 147 and 194 is 28518.
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 147 and 194?
First, calculate the GCD of 147 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 194 = 0 remainder 147 |
| 2 | 194 ÷ 147 = 1 remainder 47 |
| 3 | 147 ÷ 47 = 3 remainder 6 |
| 4 | 47 ÷ 6 = 7 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 92 | 14996 |
| 81 and 199 | 16119 |
| 100 and 66 | 3300 |
| 68 and 106 | 3604 |
| 131 and 129 | 16899 |