Least Common Multiple (LCM) of 146 and 197
The least common multiple (LCM) of 146 and 197 is 28762.
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 146 and 197?
First, calculate the GCD of 146 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 197 = 0 remainder 146 |
| 2 | 197 ÷ 146 = 1 remainder 51 |
| 3 | 146 ÷ 51 = 2 remainder 44 |
| 4 | 51 ÷ 44 = 1 remainder 7 |
| 5 | 44 ÷ 7 = 6 remainder 2 |
| 6 | 7 ÷ 2 = 3 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 110 | 1210 |
| 163 and 156 | 25428 |
| 176 and 40 | 880 |
| 131 and 199 | 26069 |
| 50 and 171 | 8550 |