Least Common Multiple (LCM) of 197 and 148
The least common multiple (LCM) of 197 and 148 is 29156.
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 148?
First, calculate the GCD of 197 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 148 = 1 remainder 49 |
| 2 | 148 ÷ 49 = 3 remainder 1 |
| 3 | 49 ÷ 1 = 49 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 40 | 120 |
| 103 and 54 | 5562 |
| 144 and 130 | 9360 |
| 157 and 33 | 5181 |
| 191 and 30 | 5730 |