Least Common Multiple (LCM) of 147 and 197
The least common multiple (LCM) of 147 and 197 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 147 and 197?
First, calculate the GCD of 147 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 197 = 0 remainder 147 |
| 2 | 197 ÷ 147 = 1 remainder 50 |
| 3 | 147 ÷ 50 = 2 remainder 47 |
| 4 | 50 ÷ 47 = 1 remainder 3 |
| 5 | 47 ÷ 3 = 15 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 28 | 5572 |
| 188 and 17 | 3196 |
| 110 and 118 | 6490 |
| 100 and 89 | 8900 |
| 175 and 78 | 13650 |