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 |
|---|---|
| 45 and 27 | 135 |
| 74 and 127 | 9398 |
| 53 and 17 | 901 |
| 153 and 166 | 25398 |
| 17 and 56 | 952 |