Least Common Multiple (LCM) of 148 and 197
The least common multiple (LCM) of 148 and 197 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 148 and 197?
First, calculate the GCD of 148 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 197 = 0 remainder 148 |
| 2 | 197 ÷ 148 = 1 remainder 49 |
| 3 | 148 ÷ 49 = 3 remainder 1 |
| 4 | 49 ÷ 1 = 49 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 121 | 14883 |
| 10 and 194 | 970 |
| 134 and 76 | 5092 |
| 61 and 49 | 2989 |
| 31 and 57 | 1767 |