Least Common Multiple (LCM) of 197 and 147
The least common multiple (LCM) of 197 and 147 is 28959.
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 197 and 147?
First, calculate the GCD of 197 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 147 = 1 remainder 50 |
| 2 | 147 ÷ 50 = 2 remainder 47 |
| 3 | 50 ÷ 47 = 1 remainder 3 |
| 4 | 47 ÷ 3 = 15 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 155 | 9455 |
| 162 and 177 | 9558 |
| 95 and 113 | 10735 |
| 127 and 161 | 20447 |
| 175 and 173 | 30275 |